Xueling Ma

• Hubei University for Nationalities

Objectives: In this study, our goal is to enhance consensus efficiency in complex decision-making scenarios by constructing a large-scale group decision-making (LSGDM) method that integrates dynamic social network (DSN) and opinion dynamics. To this end, we design a model that can effectively cluster experts and dynamically adjust the network struc...

Long-term forecasting of multivariate time series has been an important research issue in the field of data mining and knowledge discovery. Fuzzy information granularity is used as an effective tool to handle long-term forecasting of time series. On account of its good interpretability and effect, it has received the attention of more and more scho...

This paper synthesizes and analyses relevant data at multiple levels (i.e., multi-scale information systems or MSIS) by fusing social network (SN) and three-way decision (TWD). It enables us to effectively address the complexity and uncertainty intrinsic to rich decision making environments. In addition, in group decision making (GDM) it is likely,...

In the modern landscape, the fusion of forecasting and computational intelligence empowers organizations to extract invaluable insights from vast datasets, facilitating informed decision-making, swift adaptation to market dynamics, and the enhancement of competitiveness, ultimately fostering innovation. Notably, forecasting has recently garnered si...

Considerable research achievements have been made in utilizing information granulation as an effective technique for addressing long-term time-series forecasting. However, existing studies suffer from limitations in their failure to account for the impact of periodicity on information granulation. As a result, the predictive outcomes of the model a...

Aiming at multi-attribute decision-making (MADM) problems with probabilistic linguistic term sets (PLTSs), and considering the effective rationality of a decision-maker (DM) in complex decision environments, this paper proposes a probabilistic linguistic three-way decision (TWD) method based on the regret theory (RT), namely PL-TWDR. First, a proba...

For multi-attribute group decision-making (MAGDM) problems, this paper proposes a three-way consensus model based on regret theory (RT) under the framework of probabilistic linguistic term sets (PLTSs), i.e., the PL-RT-GTWD model. Specifically, the PL-RT-GTWD model mainly consists of the following two components: (1) The consensus measurement consi...

As a significant issue in the machine learning field, the long-term forecasting of time series has aroused extensive attention from academia and industry. Specifically, transforming time series into granularity time series (GTS) for forecasting is usually perceived as an efficient way to address the long-term forecasting of time series. Although so...

Clustering is a significant unsupervised learning method in the machine learning field, which can mine the distribution pattern and attribute of data. However, traditional clustering methods can not fully represent the attribution relationship between objects and classes. Therefore, a three-way clustering (3WC), which combines three-way decision (3...

Nowadays, various uncertain information can be found in real world, and it is imperative to explore viable countermeasures for uncertain decision-making problems. Hesitant fuzzy set (HFS) theory is an efficient expression of uncertain information. Thus, the solution of hesitant fuzzy multi-attribute decision-making (HF-MADM) problems acts as a key...

In real world, a typical decision-making problem in the medical field can be seen as an uncertain hesitant fuzzy multi-attribute decision-making problem when existing experiences of decision-makers are insufficient. A three-way decision model is an effective tool to deal with uncertain decision-making problems, which can realize the classification...

Cardiovascular disease is a global leading cause of death, and timely monitoring can determine its extent. Clinicians use these diagnostic indicators to make scientific and reasonable decisions. However, when decision-makers (DMs) encounter risks in complex environments, their limited rationality may affect decision behaviors. Therefore, the paper...

Breast cancer is a malignant tumor that seriously threatens women’s health. Although classic multi-attribute decision-making (MADM) techniques can handle this kind of medical problem, a decision-maker (DM) can only collect sample data under various indicators for result ranking and analysis. The three-way decision (3WD) theory further supplements a...

As an efficient decision-making tool, three-way decisions have been extensively studied in diverse generalized fuzzy information systems. Among them, since hesitant fuzzy decision information systems can well depict the hesitancy of individuals, hesitant fuzzy three-way decisions serve as a significant research topic nowadays. However, the conditio...

The paper explores a novel way to solve the multi-attribute decision-making issues under the hesitant fuzzy environment (HF-MADM) with three-way decision (3WD) theory. Firstly, according to the nature of the relative loss function (RLF), the RLF under the hesitant fuzzy (HF) environment is defined. Then, according to the practical significance of t...

This paper contributes to the expanding literature on VIKOR, a well-known multi-criteria decision-making technique. It is abundantly used to find the compromise solution regarding some significant criteria under different models. The general VIKOR methodology implements the principle that a recommended response must be a feasible solution which is...

The notion of covering based multigranulation fuzzy rough set (CMGFRS) models is a generalization of both granular computing and covering based fuzzy rough sets. Therefore it has become a powerful tool for coping with vague and multigranular information in cognition. In this paper we introduce three kinds of CMGFRS models by means of fuzzy β-neighb...

In decision making processes, an expert with hesitant attitudes may experience difficulties when evaluating alternatives via a single assessment value. By allowing the membership degree of an element to a set represented by several possible values, hesitant fuzzy sets (HFSs) are usually needed to address this situation. Thus, it is meaningful to pu...

A complex fuzzy set is characterized by a membership function, whose range is not limited to [0, 1], but extended to the unit circle in the complex plane. In this paper, we introduce some new operations and laws of a complex fuzzy set such as disjunctive sum, simple difference, bounded difference, distributive law of union over intersection and int...

Pythagorean fuzzy set (PFS), as a generalization of intuitionistic fuzzy set (IFS), is more suitable to capture the indeterminacy of the experts' decision making information. This paper is designed to build new algorithm for managing multi-criteria decision making (MCDM) issue under Pythagorean fuzzy environment. First, we initiate a novel score fu...

Many seizures in neonates are due to early-onset epilepsy, which is often difficult to diagnose, especially to explore the causes. Recently, the development of next-generation sequencing (NGS) has led to the discovery of a large number of genes involved in epilepsy. This may improve prompt detection of early-onset epilepsy in neonates. This study a...

The main purpose of this paper is to explore the structural properties of Hv-LA-semigroups with respect to generalized cubic relations. Some generalized cubic equivalence relations in Hv-LA-semigroups are investigated. Furthermore, certain results on generalized cubic relations by using the images and pre-images of Hv-LA-semigroups are provided.

To the best of our knowledge, the tool of soft set theory is a new efficacious technique to dispose uncertainties and it focuses on the parameterization, while fuzzy set theory emphasizes the truth degree and rough set theory as another tool to handle uncertainties, it places emphasis on granular. However, the real-world problems that under conside...

Combining rough sets and soft sets, we apply rough soft sets to BL-algebras. Some new operations of the lower and upper soft approximations are obtained. In particular, rough soft (implicative, positive implicative, fantastic) filters with respect to a filter over BL-algebras are also investigated. In particular, we propose two kinds of decision ma...

Let I be a normal hyperideal of a Krasner (m, n)-hyperring R, we define the relation ≡ I by x ≡ I y if and only if (Formula presented), which is an equivalence relation on R. By means of this idea, we propose rough soft hyperrings (hyperideals) with respect to a normal hyperideal in a Krasner (m, n)-hyperring. Some lower and upper rough soft hyperi...

If I is a normal hyperideal of a hyperring R, then an equivalence relation on R can be defined as follows: ≡I by x ≡ Iy if and only if x-y∩ I ≠ ∅. Hence a normal hyperideal of a hyperring is acted as an equivalence relation. In this paper we introduce a kind of novel rough soft hyperrings with respect to a normal hyperideal of a hyperring, in Pawla...

In this paper, we study soft rough BCI-algebras with respect to MS- approximation spaces. Some new soft rough operations over BCI-algebras are explored. In particular, lower and upper soft rough BCI-algebras with another soft set are in- vestigated. Finally, a kind of decision making method for soft rough BCI-algebras are originally investigated.

Fuzzy set theory, rough set theory and soft set theory are all generic mathematical tools for dealing with uncertainties. There has been some progress concerning practical applications of these theories, especially, the use of these theories in decision making problems. In the present article, we review some decision making methods based on (fuzzy)...

In this paper, we propose the notion of Z-soft fuzzy rough ideals of hemirings, which is an extended concept of Z-soft rough fuzzy ideals proposed by Zhan [J. Zhan, K. Zhu, A novel soft rough fuzzy set: Z-soft rough fuzzy ideals of hemirings and corresponding decision making, Soft Comput., 2016, DOI 10.1007/s00500-016-2119-9]. By two novel pseudo f...

By means of a novel t-level relation U(μ, t) = {(x, y) ∈ S × S| ∨ x+a+z=y+b+z μ(a) ∧ μ(b) ≥ t for all a, b, z ∈ S} of a hemiring S, which is a congruence relation on S if μ is a fuzzy strong h-ideal of S, we propose rough soft strong h-ideals with respect to the above congruence relation in hemirings. Some lower and upper rough soft strong h-ideals...

The aim of this paper is to lay a foundation for providing a soft algebraic tool in considering many problems that contains uncertainties. In order to provide these soft algebraic structures, we introduce the concepts of SI-h-bi-ideals and SI-h-quasi-ideals of hemirings. The relationships between these kinds of soft intersection h-ideals are establ...

Rough sets and soft sets are important tools to deal with uncertainties. Combining rough sets and soft sets, we apply rough soft set theory to BCI-algebras. Some basic operations of the lower and upper soft approximations are discussed. Some kinds of rough soft ideals of BCI-algebras are also obtained. Finally, two kinds of decision making methods...

In this paper, the concepts of falling fuzzy (implicative, associative) filters of lattice implication algebras based on the theory of falling shadows and fuzzy sets are presented at first. And then the relations between fuzzy (implicative, associative) filters and falling fuzzy (implicative, associative) filters are provided. In particular, we put...

The aim of this article is to lay a foundation for providing a soft algebraic tool in considering many problems that contain uncertainties. In order to provide these soft algebraic structures, we make a new approach to hemirings by means of soft intersection set theory, with the concepts of SI-hemirings, SI-h-ideals and SI-h-interior ideals. Finall...

Maji et al. (2001) introduced the concept of a fuzzy soft set, which is an extension to the concept of a soft set. The concepts of (is an element of(gamma), is an element of(gamma), Vq(delta))-fuzzy soft left h-ideals (right h-ideals, h-interior-ideals) in Gamma-hemirings are introduced. Some new characterization theorems of these kinds of fuzzy so...

The purpose of this paper is to give a foundation for providing a new soft algebraic tool in considering many problems containing uncertainties. In order to provide these new soft algebraic structures, we discuss a new soft set-(M, N)-soft intersection set, which is a generalization of soft intersection sets. We introduce the concepts of (M, N)-SI...

In this paper, we introduce the concepts of (M, N)-soft union h-bi-ideals and soft union h-quasi-ideals of hemirings. By means of a kind of new ordered relation and soft intersection product (sum), we obtain some related properties. Finally, we investigate some characterizations of h-hemiregular and h-intra-hemiregular hemirings by these kinds of (...

The aim of this paper is to lay a foundation for providing a soft algebraic tool in considering many problems that contain uncertainties. In order to provide these soft algebraic structures, we introduce the concepts of (M,N)-SI-hemirings ((M,N)-SI-h-ideals) of hemirings, which are generalizations of SI-hemirings (SI-h-ideals). By soft union-inters...

Maji et al. (2001) introduced the concept of a fuzzy soft set, which is an extension to the concept of a soft set. The concepts of (∈ γ, ∈γ Vqδ)-fuzzy soft left h-ideals (right h-ideals, h-interior-ideals) in r-hemirings are introduced. Some new characterization theorems of these kinds of fuzzy soft h-ideals of a Γ-hemiring are also given. Finally,...

In this paper, we characterize some properties of regular Abel-Grassmann's groupoid in terms of its (∈, ∈ Vqk)-fuzzy ideals. © 2014, Forum-Editrice Universitaria Udinese SRL. All rights reserved.

In this paper, we introduce a new kind of soft hemirings called soft inter-section hemirings and obtain some related properties. Some basic operations are also investigated. Finally, we describe some characterizations of h-hemiregular hemirings by means of SI-h-ideals. © 2014, Forum-Editrice Universitaria Udinese SRL. All rights reserved.

In this paper, we give some characterizations of a new non-associative structure, namely intra-regular AG-groupoids by the properties of its (∈γ, ∈γVqδ)-fuzzy subset, (∈γ, ∈γVqδ)-fuzzy left (right) ideals and (∈γ, ∈γVqδ)-fuzzy bi-ideals. © 2014, Forum-Editrice Universitaria Udinese SRL. All rights reserved.

The concept of ∈γ, ∈γ $\vee$qδ-fuzzy soft h-interior-ideals of hemirings is introduced and some related properties are obtained. In particular, the characterization of prime ∈γ, ∈γ $\vee$qδ-fuzzy soft h-interior-ideals of hemirings is provided. Finally, we show that three kinds of h-intra-hemiregular, h-quasi-hemiregular and h-semisimple hemirings...

Soft set theory, introduced by Molodtsov, has been considered as an effective mathematical tool for modeling uncertainties. In this paper, we apply soft sets to Γ-hypermodules. The concept of soft Γ-hypermodules is first introduced. Then three isomorphism theorems of soft Γ-hypermodules are established. Finally, we derive three fuzzy isomorphism th...

By means of a kind of new idea, we redefine fuzzy ideals and fuzzy interior ideals in a $$\Upgamma$$ -ring and investigate some of their related properties. In particular, we show that the regular and semisimple $$\Upgamma$$ -rings can be described by using these kinds of generalized fuzzy ideals.

The concepts of (∈γ,∈γ∨qδ)-fuzzy hh-bi-(hh-quasi-)ideals of hemirings are introduced. Some new characterization theorems of these kinds of fuzzy hh-ideals are also given. In particular, some characterizations of the hh-intra-hemiregular and hh-quasi-hemiregular hemirings are investigated by these kinds of fuzzy hh-ideals.

The concepts of (is an element of(gamma), is an element of(gamma) V q(delta))-fuzzy h-ideals and (is an element of(gamma), is an element of(gamma) V q(delta))-fuzzy Itinterior ideals in hemirings are introduced. Some new characterization theorems of these kinds of fuzzy h-ideals are also given. In particular, we investigate prime and strong prime (...

By means of ∈-soft sets, q-soft sets and ∈νq-soft sets, some characterizations of (implicative) filteristic soft R 0-algebras are investigated. Finally, we prove that a soft set is an implicative filteristic soft R 0-algebra if and only if it is a Boolean filteristic soft R 0-algebra.

The concepts of $$(\in_{\gamma},\in_{\gamma} \! \vee\,{\rm q}_{\delta})$$-fuzzy (p-, q- and a-) ideals and $$(\overline{\in}_{\gamma},\overline{\in}_{\gamma} \! \vee\,{\rm \overline{q}}_{\delta})$$-fuzzy (p-, q- and a-) ideals in BCI-algebras are introduced. Some new characterizations are investigated. In particular, we prove that a fuzzy set μ of...

Molodtsov introduced the concept of soft sets, which can be seen as a new mathematical tool for dealing with uncertainty. In this paper, we initiate the study of soft R0-algebras by using the soft set theory. The notion of filteristic soft R0-algebras is introduced and some related properties are investigated.

The concepts of (∈緯,∈緯∨q未)-fuzzy (positive implicative, implicative and commutative) ideals and (∈¯緯,∈¯緯∨q¯未)-fuzzy (positive implicative, implicative and commutative) ideals in BCI-algebras are introduced. Some new characterizations are investigated. In particular, we prove that a fuzzy set 渭渭 of a BCI-algebra XX is an (∈緯,∈緯∨q未)-fuzzy implicative...

The concept of (∈, ∈ ∨ q)-fuzzy h-ideals of hemirings is introduced and some characterizations are described. We show that a hemiring S is h-hemiregular if and only if for any (∈, ∈ ∨ q)-fuzzy right h-ideal F and (∈, ∈ ∨ q)-fuzzy left h-ideal G, F • 0.5 G = F ∩ 0.5 G. Finally, the concept of implication-based fuzzy h-ideals of hemirings is consider...

The concept of (∈, ∈ ∨ q)-fuzzy h-ideals of hemirings is introduced and some characterizations are described. We show that a hemiring S is h-hemiregular if and only if for any (∈, ∈ ∨ q)-fuzzy right h-ideal F and (∈, ∈ ∨ q)-fuzzy left h-ideal G, F • 0.5 G = F ∩ 0.5 G. Finally, the concept of implication-based fuzzy h-ideals of hemirings is consider...

The concept of (∈, ∈ ∨ q)-fuzzy h-ideals of hemirings is introduced and some characterizations are described. We show that a hemiring S is h-hemiregular if and only if for any (∈, ∈ ∨ q)-fuzzy right h-ideal F and (∈, ∈ ∨ q)-fuzzy left h-ideal G, F • 0.5 G = F ∩ 0.5 G. Finally, the concept of implication-based fuzzy h-ideals of hemirings is consider...

The concept of (∈, ∈ ∨ q)-fuzzy h-ideals of hemirings is introduced and some characterizations are described. We show that a hemiring S is h-hemiregular if and only if for any (∈, ∈ ∨ q)-fuzzy right h-ideal F and (∈, ∈ ∨ q)-fuzzy left h-ideal G, F • 0.5 G = F ∩ 0.5 G. Finally, the concept of implication-based fuzzy h-ideals of hemirings is consider...

The concept of (∈, ∈ ∨ q)-fuzzy h-ideals of hemirings is introduced and some characterizations are described. We show that a hemiring S is h-hemiregular if and only if for any (∈, ∈ ∨ q)-fuzzy right h-ideal F and (∈, ∈ ∨ q)-fuzzy left h-ideal G, F • 0.5 G = F ∩ 0.5 G. Finally, the concept of implication-based fuzzy h-ideals of hemirings is consider...

The concept of (∈, ∈ ∨ q)-fuzzy h-ideals of hemirings is introduced and some characterizations are described. We show that a hemiring S is h-hemiregular if and only if for any (∈, ∈ ∨ q)-fuzzy right h-ideal F and (∈, ∈ ∨ q)-fuzzy left h-ideal G, F • 0.5 G = F ∩ 0.5 G. Finally, the concept of implication-based fuzzy h-ideals of hemirings is consider...

The concept of (∈, ∈ ∨ q)-fuzzy h-ideals of hemirings is introduced and some characterizations are described. We show that a hemiring S is h-hemiregular if and only if for any (∈, ∈ ∨ q)-fuzzy right h-ideal F and (∈, ∈ ∨ q)-fuzzy left h-ideal G, F • 0.5 G = F ∩ 0.5 G. Finally, the concept of implication-based fuzzy h-ideals of hemirings is consider...

The concept of (∈, ∈ ∨ q)-fuzzy h-ideals of hemirings is introduced and some characterizations are described. We show that a hemiring S is h-hemiregular if and only if for any (∈, ∈ ∨ q)-fuzzy right h-ideal F and (∈, ∈ ∨ q)-fuzzy left h-ideal G, F • 0.5 G = F ∩ 0.5 G. Finally, the concept of implication-based fuzzy h-ideals of hemirings is consider...

The concept of (∈, ∈ ∨ q)-fuzzy h-ideals of hemirings is introduced and some characterizations are described. We show that a hemiring S is h-hemiregular if and only if for any (∈, ∈ ∨ q)-fuzzy right h-ideal F and (∈, ∈ ∨ q)-fuzzy left h-ideal G, F • 0.5 G = F ∩ 0.5 G. Finally, the concept of implication-based fuzzy h-ideals of hemirings is consider...

The concept of (∈, ∈ ∨ q)-fuzzy h-ideals of hemirings is introduced and some characterizations are described. We show that a hemiring S is h-hemiregular if and only if for any (∈, ∈ ∨ q)-fuzzy right h-ideal F and (∈, ∈ ∨ q)-fuzzy left h-ideal G, F • 0.5 G = F ∩ 0.5 G. Finally, the concept of implication-based fuzzy h-ideals of hemirings is consider...

The concept of (∈, ∈ ∨ q)-fuzzy h-ideals of hemirings is introduced and some characterizations are described. We show that a hemiring S is h-hemiregular if and only if for any (∈, ∈ ∨ q)-fuzzy right h-ideal F and (∈, ∈ ∨ q)-fuzzy left h-ideal G, F • 0.5 G = F ∩ 0.5 G. Finally, the concept of implication-based fuzzy h-ideals of hemirings is consider...

In this paper, we first derive three isomorphism theorems and a Jordan–Holder theorem of Γ-hyperrings. By fuzzy Γ-hyperideals, we establish three fuzzy isomorphism theorems of Γ-hyperrings.

Some characterizations of regular -rings are described by means of fuzzy ideals. The concepts of fuzzy interior ideals in -rings and semisimple -rings are introduced. Some characterizations of semisimple -rings are investigated by means of fuzzy interior ideals.

In this paper, we introduce the concepts of some kinds of fuzzy h-ideals in $$\Upgamma$$-hemirings and obtain some of their related properties. In particular, the characterizations of prime fuzzy h-ideals in $$\Upgamma$$-hemirings are discussed. Finally, we show that the h-hemiregular and h-semisimple $$\Upgamma$$-hemirings can be described by usin...

The concepts of interval valued (∈, ∈ ∨q)-fuzzy Boolean, M V-and G-filters in a MTL-algebra are introduced. The properties of these generalized fuzzy filters will be studied and in particular, the relationships between these fuzzy filters in a MTL-algebra will be investigated.

The concepts of interval valued (∈, ∈ ∨q)-fuzzy Boolean, M V-and G-filters in a MTL-algebra are introduced. The properties of these generalized fuzzy filters will be studied and in particular, the relationships between these fuzzy filters in a MTL-algebra will be investigated.

The concepts of interval-valued (∈,∈∨q)-fuzzy Boolean, MV- and G-filters in an MTL-algebra are introduced. The properties of these generalized fuzzy filters are studied and, in particular, the relationships between these fuzzy filters in an MTL-algebra are investigated.

The aim of this paper is to introduce the concepts of (∈, ∈, ∨q)-fuzzy Boolean filters and (∈, ∈, ∨q)-fuzzy MV-filters in MTL-algebras. Some characterizations of these kinds of generalized fuzzy filters are derived. Finally, the concept of (∈, ∈, ∨q)-fuzzy G-filters in MTL-algebras is introduced. It is proved that an (∈, ∈, ∨q)-fuzzy filter of MTL-...

In this paper, we introduce the notions of (∈, ∈ ∨ q)-fuzzy filters and (∈, ∈ ∨ q)-fuzzy Boolean (implicative) filters in R0-algebras and investigate some of their related properties. Some characterization theorems of these generalized fuzzy filters are derived. In particular, we prove that a fuzzy set in R0-algebras is an (∈, ∈ ∨ q)-fuzzy Boolean...

In this paper, we introduce the notions of interval-valued and (∈,∈∨q)-interval-valued fuzzy (p-, q- and a-) ideals of BCI algebras and investigate some of their properties. We then derive characterization theorems for these generalized interval-valued fuzzy ideals and discuss their relationship.

The concepts of View the MathML source-fuzzy (implicative, positive implicative and fantastic) filters of BL-algebras are introduced and some related properties are investigated. Some characterizations of these generalized fuzzy filters are derived. In particular, we describe the relationships among ordinary fuzzy (implicative, positive implicative...

The concepts of $(\overline{\in},\overline{\in} \vee \overline{q})$-fuzzy (implicative, positive implicative and fantastic) filters of $BL$-algebras are introduced and some related properties are investigated. Some characterizations of these generalized fuzzy filters are derived. In particular, we describe the relationships among ordinary fuzzy (im...

The concept of (isinmacr, isinmacr v qmacr) -fuzzy R-subgroups of near-rings is introduced and some related properties are investigated. In particular, we describe the relationships among ordinary fuzzy R-subgroups, (isinmacr, isinmacr v qmacr) -fuzzy R-subgroups and (isin, isin vq)-fuzzy R-subgroups of near-rings. Finally, we give some characteriz...

A new kind of generalized fuzzy h-ideals of a hemiring, namely, the (∈,∈∨q)-fuzzy h-bi-ideal (resp., h-quasi-ideal) is studied and the relationships between these generalized fuzzy h-ideals are described. Some characterization theorems of prime and semiprime (∈,∈∨q)-fuzzy h-bi-ideals (resp., h-quasi-ideals) of a hemiring are also given. In particul...

The aim of this paper is to introduce the concepts of (∈,∈∨q)-fuzzy Boolean filters and (∈,∈∨q)-fuzzy MV-filters in MTL-algebras. Some characterizations of these kinds of generalized fuzzy filters are derived. Finally, the concept of (∈,∈∨q)-fuzzy G-filters in MTL-algebras is introduced. It is proved that an (∈,∈∨q)-fuzzy filter of MTL-algebras is...

In [X. Ma, J. Zhan and Y. Xu, ibid. 14, No. 1–2, 119–128 (2008; Zbl 1236.03054)], we obtained the following results: Let F be a fuzzy set of an MTL-algebra L and J={t∣t∈(0,1]andU(F;t) is an empty set or a filter of L}. In particular, if J=(0,1], then F is an ordinary fuzzy filter of L (Theorem 2.5 in [loc. cit.]); if J=(0,0·5], F is an (∈,∈∨q)-fuzz...

The notion of interval valued (in,invee q)-fuzzy filters of MTL-algebras is introduced and some related properties are investigated. Some characterizations of interval valued (in,invee q)-fuzzy filters is described.

In this paper, we first introduce the notions of (positive implicative, implicative and commutative) interval-valued fuzzy ideals of BCI-algebras, which are generalizations of (positive implicative, implicative and commutative) fuzzy ideals, respectively, and investigate some of their related properties. The concept of quasi-coincidence of an inter...

In this paper, we first introduce the concept of quasi-coincidence of a fuzzy interval value with an interval valued fuzzy set. By using this new idea, we consider the interval valued (, fuzzy (implicative) ideals of pseudo-MV algebras and investigate some of their related properties. Some characterization theorems of these generalized fuzzy (impli...

The authors introduce the notions of ( $\in, \in \vee q$ )-fuzzy Boolean (implicative, positive implicative, and fantastic) filters in BL-algebras, present some characterizations on these generalized fuzzy filters, and describe the relations among these generalized fuzzy filters. It is proved that an ( $\in, \in \vee q$ )-fuzzy filter in a BL-alg...

The concept of quasi-coincidence of a fuzzy interval value in an interval valued fuzzy set is a generalization of the quasi-coincidence of a fuzzy point in a fuzzy set. With this new concept, the interval valued (∈,∈∨q)-fuzzy interior ideal in semigroups is introduced. In fact, this kind of new fuzzy interior ideals is a generalization of fuzzy int...

The concept of quasi-coincidence of a fuzzy interval value with an interval valued fuzzy set is considered. In fact, this is a generalization of quasi-coincidence of a fuzzy point with a fuzzy set. By using this new idea, the notion of interval valued (∈, ∈ ∨q)-fuzzy filters in BL-algebras which is a generalization of fuzzy filters of BL-algebras,...

The concept of quasi-coincidence of a fuzzy interval value in an interval valued fuzzy set is considered. In fact, this concept is a generalized concept of the quasi-coincidence of a fuzzy point in a fuzzy set. By using this new concept, the authors define the notion of interval valued ( $\in, \in \vee q$ )-fuzzy h-ideals of hemirings and study th...

In this paper, we introduce the notions of interval valued ( Î , Î Úq){(\in,\in\vee q)}-fuzzy filters and interval valued ( Î , Î Úq){(\in,\in\vee q)} -fuzzy Boolean (implicative) filters in R 0-algebras and investigate some of their related properties. Some characterization theorems of these generalized fuzzy filters are derived. In particular, we...

In this paper, using the concept of T-fuzzy hyperideals of hypernear-rings, we define a probabilistic version of hypernear-rings using random sets and show that fuzzy hyperideals defined in triangular norms are consequences of probabilistic hyperideals under certain conditions.

Intuitionistic fuzzy sets are generalized fuzzy sets which were first introduced by Atanassov in 1986. In this paper, we introduce the concept of intuitionistic fuzzy M-subsemigroups of an M-semigroup M with respect to an s-norm S and a t-norm T on intuitionistic fuzzy sets and study their properties. In particular, intuitionistic (S,T)-direct prod...

In this paper, we introduce the concept of a fuzzy rough hyperideal of rough hypernear-rings and obtain some interesting results. Moreover, we consider the relation * defined on a hypernear-ring R and interpret the lower and upper approximations as subsets of the near-ring R// * , and give some results in this direction.