Arsham Borumand Saeid

Shahid Bahonar University of Kerman · Department of Pure Mathematics

This article introduces the concepts of fuzzy filters, the generated fuzzy filters, fuzzy prime filters, fuzzy compatible filters, and the cosets of a fuzzy filter on Sheffer stroke basic algebras. It puts forward various characteristics and relationships among these concepts. The study reveals that the minimum of fuzzy filters is also a fuzzy filt...

This paper introduces the concept of L-sub Q-algebras via the notion of L-subsets and Q -algebras. It presents the notions of commutative L-sub Q-algebra, associative L-sub Q-algebra, and faithful L- sub Q-algebra and also the relation between them. For any given non-empty set, it defines a binary operation that it is converted to a Q-algebra and s...

In this work, Sheffer stroke BZ-algebra (briefly, SBZ-algebra) is introduced and its properties are examined. Then a partial order is defined on SBZ-algebras. It is showed that a Cartesian product of two SBZ-algebras is a SBZ-algebra. After giving SBZ-ideals and SBZ-subalgebras, it is proved that any SBZ-ideal of a SBZ-algebra is an ideal of this S...

In this article, we present an equivalent definition for the concept of the semi maximal filter in BL−algebras and some of their properties are studied. At first, we focus on elucidating the relationship between semi maximal filters and minimal prime filters. By conducting this analysis, some classifications for semi maximal filters are given.

In this study, Sheffer stroke Nelson algebras (briefly, s-Nelson algebras), (ultra) ideals, quasi-subalgebras, quotient sets, and fuzzy structures on these algebraic structures are introduced. The relationships between s-Nelson and Nelson algebras are analyzed. It is also shown that an s-Nelson algebra is a bounded distributive modular lattice, and...

In this paper, we introduce some types of [Formula: see text]-fuzzy filters of BL-algebras by applying the [Formula: see text]-quasi-coincident relation. By using a level subset of a fuzzy set in a BL-algebra, we study some characterizations of these generalized fuzzy filters and investigate several properties of [Formula: see text]-fuzzy filters o...

This paper considers the notion of nonbinary (linear) codes and the notion of hypergraphs and makes a relation between two mathematical tools for real-world applications. We consider a nonbinary (linear) code as an underline set and construct a type of hypergraphs called [Formula: see text]-hypergraph ([Formula: see text]-hypergraph) and establish...

In this paper, we introduce a special type of prime ideals in [Formula: see text]-algebras. We define the concept of a [Formula: see text]-prime ideal, which is a proper ideal [Formula: see text] that preserves the property of being prime with respect to the ideal [Formula: see text]. If [Formula: see text] is not a subset of [Formula: see text], t...

In this paper, we introduce (left, right) bi-commutative AG-groupoids and provide a simple method to test whether an arbitrary AG-groupoid is bi-commutative AG-groupoid or not. We also explore some of the general properties of these AG-groupoids. Further we introduce and study some properties of ideals in these AG-groupoids and decompose left commu...

In this paper, we develop more properties on complex intu-itionistic fuzzy soft ℓ-group (CIFSL-G) structure. We initiate the concept of complex intuitionistic fuzzy soft ℓ-homomorphism and present its pertinent properties. We extend this ideology to define the concept of invariant complex intuitionistic fuzzy soft function and develop some new resu...

The aim of this paper is to introduce (hesitant) fuzzy structures on Sheffer stroke Nelson algebras (in short, s-Nelson algebras). Since (inf-)hesitant fuzzy ideals on Sheffer stroke Nelson algebras constitute a significant area of research at the intersection of algebraic structures and fuzzy set theory, the hesitant fuzzy sets, which encompass am...

In this paper, we study (open) filters and deductive systems of self-distributive weak Heyting algebras (SDWH-algebras) and obtain some results which determine the relationship between them. We show that the variety of SDWH-algebras is not weakly regular and every open filter is the kernel of at least one congruence relation. Then it presents neces...

In this study, a Sheffer stroke BH-algebra is introduced and its features are examined. After showing that the axioms of a Sheffer stroke BH-algebra are independent, the connection between a Sheffer stroke BH-algebra and a BH-algebra is stated. After describing a subalgebra and a normal subset of a Sheffer stroke BH-algebra, the relationship betwee...

Fuzzy set theory plays a vital role in solving many complicated problems dealing with uncertainty. An [Formula: see text]-ary algebraic system as a generalization of algebraic structures that allow for operations involving more than two elements. They provide a natural framework for representing and manipulating complex relationships and interactio...

In this paper, we introduce the concept of soft Sheffer stroke BE-algebras, offering a novel perspective on their algebraic properties within the framework of soft set theory. These algebras provide a flexible and adaptable approach to logical operations, allowing the seamless integration of fuzzy and crisp information. Moreover, we delve into the...

In this paper, we study some of the properties fuzzy soft tri-quasi ideals of a semiring. Tri-quasi ideals generalize, bi-ideals, quasi-ideals and interior ideals. We characterize regular semiring using fuzzy soft tri-quasi ideals and prove that, if [Formula: see text] is a fuzzy soft tri-quasi ideal over a regular semiring [Formula: see text] then...

The aim of this paper is to investigate several operators on L-algebras. At first, closure (interior) operators on L-algebras are defined and some properties of them are obtained. Then, existential operators and universal operators on L-algebras are studied, a one-to-one correspondence between the set of all quantifier operators and the set of all...

The premise of the soft set was designed to model vague ideas. In this kind of model, where the set of parameters exhibits some degree of order, lattice order theory is quite beneficial. For researchers studying uncertainty, the notion of soft sets, lattices, and fuzzy sets has proven essential. In this study, the postulation of the Lattice ordered...

In this paper, the notion of a pseudo GE-algebra as an extension of a GE-algebra is introduced. Basic properties of pseudo GE-algebras are described. The concepts of strong pseudo BE-algebra, good pseudo BE-algebra, good pseudo GE-algebra, and the relationship between them are established. We provide a condition for a good pseudo BE-algebra to be a...

In this paper, we delve into the set of co-zero divisors in a BL−algebra and explore their properties. We used these elements for a new classification of BL−algebras. The main result establishes that the set of all co-zero divisors of a BL−algebra L is precisely the union of all minimal prime filters of L. Additionally, we introduce a particular ty...

In this paper, we introduce a special type of Z−ideals in M V −algebras and delve into their properties. These particular ideals are thoroughly examined within the context of M V −chains, semi-simple M V −algebras and Hyperarchimedean structures. Furthermore, we provide characterizations for these ideals, offering equivalent definitions that enhanc...

In this article, we introduce the concept of fuzzy ( n -fold) obstinate filter on hoop algebras and study some of the properties. We define and study fuzzy prime filter and fuzzy n -fold implicative filter on hoop algebras. Also, the relationship between fuzzy obstinate filter and some other fuzzy filters likeness fuzzy prime and fuzzy positive imp...

In this paper, we introduce the concept of fuzzy ideals, anti-fuzzy ideals of Gamma BCK-algebras. We study the properties of fuzzy ideals, anti-fuzzy ideals of Gamma BCK-algebras. We prove that if f^(-1)(mu) is a fuzzy ideal of M, then mu is a fuzzy ideal of N, where f : M to N is an epimorphism of Gamma BCK-algebras M and N.

In this paper, we introduce the concept of fuzzy ideals, anti-fuzzy ideals of Γ−BCK-algebras. We study the properties of fuzzy ideals, anti-fuzzy ideals of Γ−BCK-algebras. We prove that if f −1 (µ) is a fuzzy ideal of M, then µ is a fuzzy ideal of N , where f : M → N is an epimorphism of Γ−BCK-algebras M and N .

In this study, fuzzy Sheffer stroke BE-algebras are studied. Then a fuzzy SBE-subalgebra, a fuzzy SBE-filter, the cartesian product of fuzzy subsets and fuzzy points on a Sheffer stroke BE-algebra (briefly, SBE-algebra) are defined and it is shown that the family of all fuzzy points in a SBE-algebra is a weak SBE-algebra which is usually not a SBE-...

In this paper, we introduce the concepts of hesitant fuzzy subsemiring, hesitant fuzzy ideals, hesitant fuzzy (bi, quasi, interior) ideals of (ordered) [Formula: see text]-semiring. We characterize simple and regular (ordered) [Formula: see text]-semiring by using hesitant fuzzy ideals.

In this paper, first (by the notions which defined,) we get some new properties and characterizations in MV-modules. We show that there exits an one to one corresponding between P-prime A-ideals of an A-module M and P_S –prime A_S-ideals of M_S, where S is a closed subset of A and P is a prime ideal of A such that P⋂S=∅. After that we introduced so...

In this paper, we are going to introduce a fundamental relation on \(H_{v}BE\)-algebra and investigate some of properties, also construct new \((H_{v})BE\)-algebras via this relation. We show that quotient of any \(H_{v}BE\)-algebra via a regular regulation is an \(H_{v}BE\)-algebra and this quotient, via any strongly relation is a \(BE\)-algebra....

We use the left self‐distributive axiom to introduce and study a special class of weak Heyting algebras, called self‐distributive weak Heyting algebras (SDWH‐algebras). We present some useful properties of SDWH‐algebras and obtain some equivalent conditions of them. A characteristic of SDWH‐algebras of orders 3 and 4 is given. Finally, we study the...

In this paper, we characterize some properties of fuzzy congruence relations and obtain a fuzzy congruence relation generated by a fuzzy relation in residuated lattices. For this purpose, two various types of fuzzy relations (regular and irregular) are introduced. In order to obtain a fuzzy congruence relation generated by an irregular fuzzy relati...

In this paper, for getting more results in groupoids, we consider a set and introduce the notion of a right (left) independent subset of a groupoid, and it is studied in detail. As a corollary of these properties, the following important result is proved: for any groupoid, there is a maximal right (left) independent subset. Moreover, the notion of...

In this paper, fuzzy Wiener matrix, Wiener Laplacian matrix and corresponding energies of fuzzy graph are defined. A bound on largest eigenvalue of fuzzy Wiener matrix is presented. Several results related to eigenvalues of fuzzy Wiener and fuzzy Wiener Laplacian matrices are proved. Several upper and lower bounds for energies of these matrices are...

In this study, we give some fundamental set-theoretical solutions of Yang-Baxter equation in triangle algebras and state triangle algebras. We prove that the necessary and sufficient condition for certain mappings to be set theoretical solutions of Yang-Baxter equation on these structures is that these structures must be also MTL-(state) triangle a...

Practical group decision-making (DM) problems frequently involve challenging circumstances when attempting to assign appropriate values to the data because of the haziness and uncertainty of the surrounding circumstances. In order to address the ambiguity and imprecision that arise in DM issues, q-rung picture fuzzy sets (q-RPFSs) have a more broad...

In this paper, we study the notion of derivation on hoop algebras and also the (isotone, contractive, ideal, regular, idempotent and perfect) derivation on hoop algebras. We state and prove some theorems, which determine the relationship between these notions and other types of derivations on hoop algebra. We also find the equivalent condition for...

In this paper, the notion of fuzzy pseudo-CI-filter in a pseudo-CI-algebra is introduced and its elementary properties are investigated. With the upper level set, the relationship between pseudo-CI-filter and fuzzy pseudo-CI-filter is shown and this relationship is illustrated with an example. Some type of fuzzy pseudo-CI-filters and the relationsh...

The notions of intuitionistic fuzzy quasi-subalgebras and intuitionistic fuzzy (ultra) filters are defined and examined on Sheffer stroke BL-algebras in details. Then we characterize the properties of these intuitionistic fuzzy structures, and show the relationships between intuitionistic fuzzy quasi-subalgebras and intuitionistic fuzzy (ultra) fil...

BL-algebraic models are examined in this research, and an algorithm based on the supplied code is introduced. A BL-algebra-based rendering algorithm is also demonstrated. A BL-algebra structure can be used to estimate the Hamming distance and dimension in conjunction with the given code because the algorithm’s mechanism is strongly related to the p...

The aim of this paper is to introduce rough approximation on L−algebras. We investigate the relationship between subalgebras, ideals and rough subalgebras, rough ideals of L−algebras, and study homomorphic images of rough ideals on L−algebras. Furthermore, the rough set algebra as an L−algebra is expressed by select the implication operator appropr...

The main objective of this study is to introduce Sheffer stroke R0−algebra (for short, SR0− algebra). Then it is stated that the axiom system of a Sheffer stroke R0−algebra is independent. It is indicated that every Sheffer stroke R0−algebra is R0−algebra but specific conditions are necessarily for the inverse. Afterward, various ideals of a Sheffe...

The study of topological indices for fuzzy graphs is beneficial for fuzzy multi-criteria decision-making problems and various connected fuzzy networks. In this paper, we discuss two fuzzy topological indices, namely fuzzy Randic index and fuzzy harmonic index. We establish several upper bounds for these fuzzy indices. We also present the lower boun...

In this paper, we define modal operators in residuated skew lattices and prove some fundamental properties of monotone modal operators on residuated skew lattices (RSL). We prove that the composition of two modal operators is a modal operator if and only if they commute. We investigate strong modal operators in RSL and get a characterization of the...

The main objective of the study is to introduce a hesitant fuzzy structures on Sheffer stroke BCK-algebras related to their subsets (subalgebras as possible as). Then it is proved that every hesitant fuzzy ideal of a Sheffer stroke BCK-algebra related to the subset is the hesitant fuzzy subalgebra. By defining a hesitant fuzzy maximal ideal in this...

In this paper we introduce Sheffer stroke BE-algebras (briefly, SBE-algebras) and investigate a relationship between SBE-algebras and BE-algebras. By presenting a SBE-filter, an upper set and a SBE-subalgebra on a SBE-algebra, it is shown that any SBE-filter of a SBE-algebra is a SBE-subalgebra but the converse of this statement is not true. Beside...

The Markov Weighted Fuzzy Time Series (MWFTS) is a method for making predictions based on developing a fuzzy time series (FTS) algorithm. The MWTS has overcome certain limitations of FTS, such as repetition of fuzzy logic relationships and weight considerations of fuzzy logic relationships. The main challenge of the MWFTS method is the absence of s...

The concept of ₦-structures was initiated by Jun et al. in 2009. Later, Young Bae Jun extended this concept as ₦-hyper sets and dealt its associated outcomes. In particular, four types of ₦-substructures with relevant properties have been investigated which leads to the introduction of the notion of ₦-hyper [Formula: see text]subalgebra in this stu...

This study aims to introduce the concept of (anti) fuzzy ideals of a Sheffer stroke BCK-algebra. After describing an anti fuzzy subalgebra and an anti fuzzy (sub-implicative) ideal of a Sheffer stroke BCK-algebra, the relationships of these notions are demonstrated. Also, a t-level cut and complement of a fuzzy subset are defined, and some of the p...

In this paper‎, ‎as a further generalization of fuzzy ideals‎, ‎we introduce the notion of a fuzzy (soft) quasi-interior ideals of semirings and characterize regular semiring in terms of fuzzy (soft) quasi-interior ideals of semirings‎. ‎We prove that (μ‎,‎A) is a fuzzy soft left quasi-interior ideal‎ ‎over a regular semiring M, if and only if (μ‎,...

We know that Γ−ring, Γ−incline, Γ−semiring, Γ−semigroup are generalizations of ring, incline, semiring and semigroup respectively. In this paper, we introduce the concept of Γ−BCK-algebras as a generalization of BCK-algebras and study Γ−BCK-algebras. We also introduce subalgebra, ideal, closed ideal, normal subalgebra, normal ideal and construct qu...

The purpose of this paper is to introduce a novel notion of hypergraph-based codes, L.C-hypergraphs and codeable hypergraphs with respect to binary (linear) codes. In order to realize the article’s goals, we define the concepts of code-based graphs, consider them as complex networks and construct them from binary (linear) codes via an equivalence r...

The main objective of this study is to introduce a neutrosophic N− subalgebra (ideal) of Lalgebras and to investigate some properties. It is shown that the level-set of a neutrosophic N−subalgebra (ideal) of an L-algebra is its subalgebra (ideal), and the family of all neutrosophic N−subalgebras of an L-algebra forms a complete distributive modular...

In this study, fuzzy subalgebras and ideals with t-conorms on Sheffer stroke Hilbert algebras are discussed. We state and prove relationships between the level-set of a fuzzy subalgebra with a t-conorm T (briefly, T-fuzzy subalgebra) and a subalgebra of a Sheffer stroke Hilbert algebra. Then the composition of T-fuzzy subalgebras and homomorphisms...

In this paper, we introduce and study the notion of a [Formula: see text]positive implicative[Formula: see text] left ray in groupoids, and we show that every normal subgroup of a group is a left ray of a group, and in every finite group, left rays are normal subgroups. Further, left absorptive subsets of groupoids are discussed and several example...

In this article, we introduce dual hesitant q$$ q $$‐rung orthopair fuzzy 2‐tuple linguistic set (DHq‐ROFTLS), a new strategy for dealing with uncertainty that incorporates a 2‐tuple linguistic term into dual hesitant q$$ q $$‐rung orthopair fuzzy set (DHq‐ROFS). DHq‐ROFTLS is a better way to deal with uncertain and imprecise information in the dec...

The notion of a belligerent GE-filter in a GE-algebra is introduced, and the relationships between a GE-filter and a belligerent GE-filter will be given. Conditions for a GE-filter to be a belligerent GE-filter are provided. The product and the union of GE-algebras are discussed and its properties are investigated.

In this paper, Sheffer stroke BL-algebra and its properties are investigated. It is shown that a Cartesian product of two Sheffer stroke BL-algebras is a Sheffer stroke BL-algebra. After describing a filter of Sheffer stroke BL-algebra, a congruence relation on a Sheffer stroke BL-algebra is defined via its filter, and quotient of a Sheffer stroke...

Nowadays, wireless sensor networks (WSNs) are used to monitor and collect data in various environments. One of the main challenges in WSNs is the energy consumption due to the deployed sensor nodes in WSNs are energy-constrained. Clustering method is a solution for this problem and the cluster head (CH) selection process is a major part of the clus...

The conditions of β−algebra is enforced into the structure of cubic intuitionistic fuzzy settings. Furthermore, the concept of cubic intuitionistic β− subalgebra is expressed and its pertinent properties were explored. Also, discussed about the level set of cubic intuitionistic β−subalgebras and furnished some fascinating results on the cartesian p...

A complex intuitionistic fuzzy set (CIFS) has an ability to represent the problems with intuitionistic uncertainty and periodicity, simultaneously. In this paper, we present a new framework for handling complex intuitionistic fuzzy information by combining the CIFSs with competition graphs. We first introduce the concept of complex intuitionistic f...

Different extensions of fuzzy sets like intuitionistic, picture, Pythagorean, and spherical have been proposed to model uncertainty. Although these extensions are able to increase the level of accuracy, imposing rigid restrictions on the grades are the main problem of them. In these types of fuzzy sets, the value of grades and also the sum of them...

In this paper, we study MV?algebra of continuous functions C(X) and maximal ideals of C(X). Furthermore, Z?ideal and Z??ideal of C(X) are introduced and proved that every Z??ideal in C(X) is a Z?ideal but the converse is not true and every finitely generated Z?ideal is a basic Z??ideal. Also, we investigate meet and join of two Z?ideals (Z??ideal)...

In this paper, we propose a new intuitionistic entropy measurement for multi-criteria decision-making (MCDM) problems. The entropy of an intuitionistic fuzzy set (IFS) measures uncertainty related to the data modelling as IFS. The entropy of fuzzy sets is widely used in decision support methods, where dealing with uncertain data grows in importance...

In this study, new properties of various filters on a Sheffer stroke BL-algebra are studied. Then some new results in filters of Sheffer stroke BL-algebras are given. Also, stabilizers of nonempty subsets of Sheffer stroke BL-algebras are defined and some properties are examined. Moreover, it is shown that the stabilizer of a filter with respect to...

AbstractAs generalizations and alternatives of classical algebraic structures there have been introduced in 2019 the NeutroAlgebraic structures (or NeutroAlgebras) and AntiAlgebraic structures (or AntiAlgebras). Unlike the classical algebraic structures, where all operations are well defined and all axioms are totally true, in NeutroAlgebras and An...

The purpose of this paper was to introduce the concepts of very thin multigroup, nondistributive (very thin) multirings, zero-divisor elements of multirings and zero-divisor graphs based on zero-divisor elements of multirings. In order to realize the article’s goals, we consider the relationship between finite nondistributive (very thin) multirings...

Recently, a number of researches studied relationship between codes and BCK-algebras, dealing with the category codes in a BCK-algebra have not been considered in earlier works. This paper investigates a code constructed by a BCK-algebra and also a BCK-algebra constructed based on code. The suggested rendered algorithm constructs the code based on...

The notions of \({{\mathcal {N}}}\)-ideal of types \((\in , \in )\) and \((\in , \in \! \vee \, {q})\), soft \({\mathcal N}_{\in }\)-set, soft \({{\mathcal {N}}}_{q}\)-set, soft \({{\mathcal {N}}}_{\in \! \vee \, {q}}\)-set, soft \({{\mathcal {N}}}\)-subalgebra and soft \({{\mathcal {N}}}\)-ideal in BCK/BCI-algebra are introduced, and several prope...

In this article, we introduce the variety of monadic MTL-algebras as MTL-algebras equipped with two monadic operators. After a study of the basic properties of this variety, we define and investigate monadic filters in monadic MTL-algebras. By using the notion of monadic filters, we prove the subdirect representation theorem of monadic MTL-algebras...

As generalizations and alternatives of classical algebraic structures there have been introduced in 2019 the NeutroAlgebraic Structures (or NeutroAlgebras) and AntiAlgebraic structures (or AntiAlgebras). Unlike the classical algebraic structures, where all operations are well-defined and all axioms are totally true, in NeutroAlgebras and AntiAlgebr...

This study aims to investigate [Formula: see text]-valued GFA from algebraic and topological perspectives, where [Formula: see text] stands for residuated lattice and B is a set of propositions about the general fuzzy automata, in which its underlying structure is a complete infinitely distributive lattice. Further, the concepts of [Formula: see te...

In this paper, we introduce the notion of state monadic BL-algebras and we investigate their properties. We define the concept of state monadic filters and study certain types of state monadic filters; we define and charaterize maximal and prime state monadic filters. Characterizations of local, simple and semisimple state monadic BL-algebras are a...

As generalizations and alternatives of classical algebraic structures there have been introduced in 2019 the Neutro Algebraic Structures (or Neutro Algebras) and Anti Algebraic structures (or Anti Algebras). Unlike the classical algebraic structures, where all operations are well-defined and all axioms are totally true, in Neutro Algebras and Anti...

In this paper, some types of fuzzy filters of a strong Sheffer stroke non-associative MV-algebra (for short, strong Sheffer stroke NMV-algebra) are introduced. By presenting new properties of filters, we define a prime filter in this algebraic structure. Then (prime) fuzzy filters of a strong Sheffer stroke NMV-algebra are determined and some featu...

The aim of the study is to present (sup-hesitant) fuzzy SUP-subalgebras and fuzzy duplex SUP-sets on Sheffer stroke UP-algebra (in short, SUP-algebra). After defining (sup-hesitant) fuzzy SUP-subalgebras and fuzzy duplex SUP-sets of a SUP-algebra, we give their some properties and analyse whether the intersection or union of these subalgebras is a...

In this study, Sheffer stroke Nelson algebras (briefly, s-Nelson algebras), (ultra) ideals, quasi-subalgebras and quotient sets on these algebraic structures are introduced. The relationships between s-Nelson and Nelson algebras are analyzed. Also, it is shown that a s-Nelson algbera is a bounded distributive modular lattice, and the family of all...

In this article, we study ideals in residuated lattice and present a characterization theorem for them. We investigate some related results between the obstinate ideals and other types of ideals of a residuated lattice, likeness Boolean, primary, prime, implicative, maximal and ʘ-prime ideals. Characterization theorems and extension property for ob...

In this paper, we introduce the notion of a wRM/eRM-algebra as a generalization of a RM-algebra. These structures are studied in details. Also, we derived an eRM-algebra from a RM-algebra and vice versa. The concept of a positive implicative eRM-algebra is defined and we discussed on the medial filters.

In recent years, mobile ad-hoc networks have been used widely due to advances in wireless technology. These networks are formed in any environment that is needed without a fixed infrastructure or centralized management. Mobile ad-hoc networks have some characteristics and advantages such as wireless medium access, multi-hop routing, low cost devel...

In this paper, Sheffer stroke BCK-algebra is defined and its features are investigated. It is indicated that the axioms of a Sheffer stroke BCK-algebra are independent. The relationship between a Sheffer stroke BCK-algebra and a BCK-algebra is stated. After describing a commutative, an implicative and an involutory Sheffer stroke BCK-algebras, some...

The present study aimed to propose the similarity triangle algebra and prove the completeness of the similarity triangle logic. The similarity was defined on triangle algebra. Similarity triangle algebra is a triangle algebra endowed with a binary operation S, which verifies specific additional properties. These properties and a class of all the si...

In this paper, we introduce the notion of states and state operators on residuated skew lattices and investigate some related properties of them. The relationships between state operators and states on residuated skew lattices are discussed. We prove that every Bosbach state on a residuated skew lattice is a Riecan state and with an example we show...

In this study, a neutrosophic N−subalgebra and a level set of a neutrosophic N−structure are defined on Sheffer stroke Hilbert algebras. By determining a subalgebra on Sheffer stroke Hilbert algebras, it is proved that the level set of neutrosophic N-subalgebras on this algebra is its subalgebra and vice versa. It is stated that the family of all n...