# Nasruddin HassanUniversiti Kebangsaan Malaysia | ukm · School of Mathematical Sciences

Nasruddin Hassan

PhD

## About

176

Publications

66,796

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3,410

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Citations since 2016

Introduction

B.Sc in Mathematics, Western Illinois University USA.
M.Sc in Applied Mathematics, Western Michigan University USA.
PhD in Applied Mathematics, Universiti Putra Malaysia.
Teaching Assistant at Western Illinois University early 1984.
Graduate Assistant at Western Michigan University 1984-1986.
Email: drnasrhassan@yahoo.com

Additional affiliations

January 2012 - present

Education

April 2002 - March 2006

August 1984 - March 1986

August 1980 - March 1984

## Publications

Publications (176)

Molodtsov introduced the theory of soft sets as a generalized tool for modelling complex systems involving uncertain or not clearly defined objects. In this paper the concepts of vague soft set relations are introduced as a sub-vague soft set of the Cartesian product of the vague soft sets and related concepts such as equivalent vague soft set rela...

In this paper, we give the definitions of a multi Q-fuzzy set and a multi Q-fuzzy parameterized soft (MkQFP−soft) set and their operations, namely complement, quality, subset, union, and intersection operations.We then propose a decision making method based on MkQFP−soft set theory. We finally give an example which shows that the method can be succ...

A mathematical model is developed to assess the management tourism’s activities at Wetland Putrajaya. The goal programming model is designed to find the optimal solution of maximizing the estimate profit of activity and maximizing the number of participants involved using the LINDO 6.1 software. Seven activities in Wetland Putrajaya under the Putra...

In this paper, we first introduce the concept of neutrosophic vague soft expert sets (NVSESs for short) which
combines neutrosophic vague sets and soft expert sets to be more effective and useful. We also define its basic operations, namely complement, union, intersection, AND and OR along with illustrative examples, and study some related properti...

A weighted multi-criteria model is built to maximize the distribution of students into academic programs of a department. The optimal distribution of students to these programs is determined by taking into account the constraints inherent in each academic program while complying with the limits of space capacity, the constraints of financial alloca...

In this paper, some lower separation axioms in interval-valued intuitionistic fuzzy topological spaces are proposed. Furthermore, we pay some attention in determining the corresponding variations of them in intuitionistic fuzzy topological spaces. The four different types of the concepts of R •-ness, T •-ness and T 1-ness separation axioms are deve...

Aim/Purpose: This research aims to analyze the effect of human resource management on humanitarian operations performance, using humanitarian organizations in Malaysia as a case.
Background: Humanitarian organizations need to develop and continue effective on-the-job human resource management, such as training and development and managing
employe...

In this article, we investigate some new results of Neutrosophic multiplication module E (shortly Ne(E)). We additionally introduce some light points about some concepts in which have relationship with Neutrosophic multiplication module. We prove that if E is a Neutrosophic Artinian multiplication module and Neutrosophic Jacobson radical of E is a...

A vague soft set is a mapping from a parameter set to the collection of vague subsets of the universal set. In this study, a vague soft relation is presented based on the Cartesian product of vague soft sets. The basic properties of these relations are studied to explain the concept of transitive closure of a vague soft relation. The symmetric, ref...

In this paper, we define the notion of Q-neutrosophic normal soft groups and discuss several related structural characteristics and properties. Additionally, we discuss the relation between Q-neutrosophic normal soft groups and normal soft groups. Furthermore, we define the concept of Q-neutrosophic soft cosets and discuss several relevant attribut...

This paper presents a novel concept based on the idea that each element of the initial universe has a possibility degree related to each element of the parameter set. It is an improved hybrid model that combines the key features of soft set, vague set and neutrosophic set, thus making it highly suitable for use in decision-making problems that invo...

The notion of a q-rung orthopair fuzzy soft rough set (qROFSRS) appeared as an extension of q-rung orthopair fuzzy set (qROFS) and q-rung orthopair fuzzy soft set (qROFSS) with the aid of rough set (RS) definition. Thus, qROFSRS and m-polar fuzzy set (mPFS) are convenient to deal with uncertain knowledge which helps us to solve many problems in dec...

The paper aims to present the concept of power aggregation operators for the T-spherical fuzzy sets (T-SFSs). T-SFS is a powerful concept, with four membership functions denoting membership, abstinence, non-membership and refusal degree, to deal with the uncertain information as compared to other existing fuzzy sets. On the other hand, the relation...

In this paper, we give a new notion of the m-polar single-valued neutrosophic sets (m-PSVNSs) which is a hybrid of the single-valued neutrosophic sets (SVNSs) and the m-polar fuzzy sets (m-PFSs) and study several of the structure operations including subset, equal, union, intersection, and complement. Subsequently, we present the basic definitions,...

Even though the world has progressed exponentially, the core reasons for the failure of many public sector projects remain the same, i.e., the poor planning and competency of a project manager. Therefore, it becomes essential even in the contemporary world to assess and evaluate a model that determines the effect of planning and the project manager...

Recently, the concept of a fuzzy alpha- neighborhood operator with reflexivity was established and a fuzzy rough set covering based on a fuzzy alpha- neighborhood operator was defined by Zhang et al. As a generalization of Zhang et al. models, this paper aims to introduce the notion of a complementary fuzzy alpha-neighborhood operator with reflexiv...

The rapid rate of technological development and the growing complexity of society in recent years have brought renewed awareness of the importance of higher education. As this sector is increasing in size and quality, higher education administrators are facing difficulties in allocating students into certain programmes. However, the modelling to de...

From the hybrid nature of cubic sets, we develop a new generalized hybrid structure of cubic sets known as cubic vague sets (CVSs). We also define the concept of internal cubic vague sets (ICVSs) and external cubic vague sets (ECVSs) with examples and discuss their interesting properties, including ICVSs and ECVSs under both P and R-Order. Moreover...

Complex q-rung orthopair fuzzy set (CQROFS), as a modified notion of complex fuzzy set (CFS), is an important tool to cope with awkward and complicated information. CQROFS contains two functions which are called truth grade and falsity grade by the form of complex numbers belonging to unit disc in a complex plane. The condition of CQROFS is that th...

Reputation of the public sector organizations has been in the limelight of research since the last few years. It is because a positive reputation attracts foreign direct investment, elevates the trust of the general public in their government, increases the net tax collections and in aggregate improves the image and identity of the country. The aim...

The neutrosophic cubic averaging and Einstein averaging aggregation operators are presented and applied to the air pollution model of the city of Peshawar, Pakistan. Neutrosophic cubic set (NCS) is a more generalized version of the neutrosophic set (NS) and an interval neutrosophic set (INS). It is in a better position to express consistent, indete...

As an extension of neutrosophic soft sets, Q-neutrosophic soft sets were established to deal with twodimensional indeterminate data. Different hybrid models of fuzzy sets were utilized to different algebraic structures,
for example groups, rings, fields and lie-algebras. A field is an essential algebraic structure, which is widely used
in algebra a...

To tackle the real life problems we come across, in various fields like computer sciences,
medical sciences, social sciences and engineering works where we are facing many ambiguities and
imprecisions. Here we bring an idea of neutrosophic bipolar fuzzy decision making where hybridized
multi-attributes are involved, which is a very helpful tool to...

Supplier selection process is an important issue in business as well as supply chain system as most companies work with several suppliers in running their businesses. Suppliers need to compete in order to gain trust from the company they are dealing with. However, the company also needs to choose the right supplier based on several criteria. The ta...

In this paper, we introduce the notion of Q-neutrosophic soft rings and discuss some of its related properties. Next, we discuss the cartesian product of Q-neutrosophic soft rings and homomorphic images and preimages of Q-neutrosophic soft rings. Moreover, Q-neutrosophic soft ideals are defined and some of their related properties are explored.

Neutrosophic set theory was initiated as a method to handle indeterminate uncertain data. It is identified via three independent memberships represent truth T , indeterminate I and falsity F membership degrees of an element. As a generalization of neutrosophic set theory, Q-neutrosophic set theory was established as a new hybrid model that keeps th...

This paper presents a new approach to time-series applications, called the fuzzy parameterized complex multi-fuzzy soft expert set FPCM kFSE – set. Some operations related to this new concept are defined, such as equal, subset, complement, union and intersection.

We extend the study of bipolar soft topological space by defining bipolar soft separation axioms (𝑇𝑖 , 𝑖 = 0, 1, 2, 3, 4) followed by some related theorems. The concept of bipolar soft subspace topology is also discussed, followed by examples to illustrate these concepts.

In this article we introduce the concept of fuzzy parameterized complex multi-fuzzy soft set (FPCMFS-set) in order to improve the concept of fuzzy parameterized fuzzy soft set to include the time frame which is presented by the phase term which will enable the representation of multi-dimensional data. Some concepts related to FPCMFS-set as well as...

We introduce the concept of a mapping on classes of complex multi-fuzzy soft expert sets through which we can study the images and inverse images of complex multi-fuzzy soft expert sets, along with an illustrative example. The basic operations are proposed and other related properties are put forward.

In recent years, the theory of neutrosophic set and its hybrid models have captured the attention of many researchers. The concept of Q-neutrosophic set was introduced as an extension of neutrosophic set to handle two-dimensional uncertain, indeterminate and inconsistent information. This paper focuses on developing the algebraic structure pertaini...

Hesitant Fuzzy Set (HFS) provides a useful tool in dealing with uncertainty and represented by several possible values. The distance measure between two HFSs is fundamentally crucial in decision making. This paper presents a series of hamming score distance of HFS that can be applied in decision-making problem based on the ideal solution of a techn...

The objective of the current work is to extend the thought of Q-neutrosophic soft sets to fields. In this paper, we define the notion of Q-neutrosophic soft fields. Structural characteristics of it are investigated.

Traditionally, the binary search method is used to collect the denoising data in the array pixilated CdZnTe nuclear detector. Due to the high dispersion of the data itself, the acquisition efficiency is low and the acquisition result has a large error. A denoising data acquisition algorithm for array pixilated CdZnTe nuclear detector is proposed. T...

Project management maturity (PMM) is gaining interest from different domains of research because it can be used to assess the strengths and weaknesses of ongoing projects within organizations. Thus, this paper aims to present and validate a research model that includes PMM and project success. Partial least squares' structural equation modeling (PL...

The current information retrieval research on industrial clusters has low precision, low recall ratio, obvious delay and high energy consumption. Thus, in this paper, a information retrieval algorithm based on vector space for industrial clusters is proposed. By optimizing the unlawful labels in the database network, dividing the web pages of the i...

To solve the problem of multi-objective performance optimization based on ant colony algorithm, a multi-objective performance optimization method of ORC cycle based on an improved ant colony algorithm is proposed. Through the analysis of the ORC cycle system, the thermodynamic model of the ORC system is constructed. Based on the first law of thermo...

Smarandache introduced the concept of neutrosophic set which is
the genralistion of fuzzy set, intuitionistic fuzzy set and a better mathematical
tool to handle incomplete, inconsistance and vague information. In this work,
we propose the concept of multi Q-single valued neutrosophic soft expert set
and its basic operations such as, union, intersec...

In the definition of the complex neutrosophic soft expert set (CNSES), parameters set is a classical set, and the parameters have the same degree of importance, which is considered as 1. This poses a limitation in modeling of some problems. This paper introduces the concept of fuzzy parameterized complex neutrosophic soft expert set (FP-CNSES) to h...

To handle indeterminate and incomplete data, neutrosophic logic/set/probability were established. The neutrosophic truth, falsehood and indeterminacy components exhibit symmetry as the truth and the falsehood look the same and behave in a symmetrical way with respect to the indeterminacy component which serves as a line of the symmetry. Soft set is...

Expressing the measure of uncertainty, in terms of an interval instead of a crisp number, provides improved results in fuzzy mathematics. Several such concepts are established, including the interval-valued fuzzy set, the interval-valued intuitionistic fuzzy set, and the interval-valued picture fuzzy set. The goal of this article is to enhance the...

Contemporary research has refined systems with complex fuzzy sets in order to improve the design and model of real-life applications. Symmetry and antisymmetry are basic characteristics of binary relations used when modeling the decision maker's preferences. A recent focus has been the analysis of a complex data set using the properties of fuzzy co...

T-spherical fuzzy set (T-SPFS) is a generalization of several fuzzy concepts such as fuzzy set (FS), intuitionistic FS, picture FS, Pythagorean FS, and q-rung orthopair FS. T-SPFS is a more powerful mathematical tool to handle uncertain, inconsistent, and vague information than the above-defined sets. In this paper, some limitations in the operatio...

Games are considered to be the most attractive and healthy event between nationsand peoples. Soft expert sets are helpful for capturing uncertain and vague information.By contrast, neutrosophic set is a tri-component logic set, thus it can deal with uncertain,indeterminate, and incompatible information where the indeterminacy is quantified explicit...

A neutrosophic set was proposed as an approach to study neutral uncertain information. It is characterized through three memberships, T, I and F, such that these independent functions stand for the truth, indeterminate, and false-membership degrees of an object. The neutrosophic set presents a symmetric form since truth enrolment T is symmetric to...

We introduce the concept of complex multi-fuzzy soft expert set (CMFSES) for which the range of its membership functions are represented in terms of complex numbers. CMFSES has the ability to realize more range of values while handling uncertainty of data that is captured by the amplitude terms and phase terms of the complex numbers, simultaneously...

Molodtsov introduced the concept of the soft set as a general mathematical tool for dealing with uncertainty. We intend to further this foray into fuzzy sets and soft sets by introducing the concepts of Q-cubic set and a Q-cubic soft multiset and their basic operations, namely complement, union, intersection, OR and AND operations along with illust...

Molodtsov introduced the theory of soft sets, which can be seen as a new mathematical approach to vagueness. In this paper, we introduce a new soft set called an inverse fuzzy soft set, along with its properties, characteristics, and operations. Then we construct an algorithm using max-min and min-max decision of inverse fuzzy soft set for a fuzzy...

The traditional RSA information encryption algorithm uses one-dimensional chaotic equations to generate pseudo-random sequences that meet the encryption requirements. This encryption method is too simple and the security performance is poor. A multi-level encryption algorithm for user-related information across social networks is proposed, and a us...

We develop a novel mathematical tool known as complex multi-fuzzy soft set (CMFSS) which has the ability to handle uncertainties, imprecision and vagueness of information that are inherent in the data by considering the amplitude and phase terms of the complex numbers simultaneously. This CMFSS constitutes of a hybrid structure of multi-fuzzy set a...

In this paper, triangular cubic hesitant fuzzy Einstein weighted averaging (TCHFEWA) operator, triangular cubic hesitant fuzzy Einstein ordered weighted averaging (TCHFEOWA) operator and triangular cubic hesitant fuzzy Einstein hybrid weighted averaging (TCHFEHWA) operator are proposed. An approach to multiple attribute group decision making with l...

Neutrosophic triplet structure yields a symmetric property of truth membership on the left, indeterminacy membership in the centre and false membership on the right, as do points of object, centre and image of reflection. As an extension of a neutrosophic set, the Q-neutrosophic set was introduced to handle two-dimensional uncertain and inconsisten...

In this paper, we extended the idea of a neutrosophic triplet set to non-associative semihypergroups and define neutrosophic triplet LA-semihypergroup. We discuss some basic results and properties. At the end, we provide an application of the proposed structure in Football.

The key algorithm of the traditional system is aimed at the minimum of a certain factor, but does not consider the uncertain conditions and various modes of transportation, and the result of the scheduling is not excellent. To this end, a new fuzzy scheduling optimization system based on ant colony algorithm for multi-objective transportation path...

Aiming at the problem that the active queue management algorithm can not explicitly control the queue length and the relationship between throughput and delay, a fuzzy information control algorithm based on Active Queue Management for digital substation communication network congestion is proposed. After packet grouping is entered into the router c...

In the past, intelligent system often realized reasoning operation by interpolation method for one-dimensional sparse rule base, and could not analyze fuzzy reasoning of multi-dimensional sparse rule condition, which greatly improved the error and volatility of reasoning results. Therefore, a multiple multi-dimensional fuzzy reasoning algorithm bas...

In this paper we generated a new procedure called interval midpoint zoro symmetric single-step IMZSS2-5D procedure which is an extension from the existing ISS2 procedure. This procedure needs some pre-conditions for the initial interval to converge to the zeros respectively, starting with some disjoint intervals, each of which contains a polynomial...

The neutrosophic cubic set (NCS) is a hybrid structure, which consists of interval neutrosophic sets (INS) (associated with the undetermined part of information associated with entropy) and single-valued neutrosophic set (SVNS) (associated with the determined part of information). NCS is a better tool to handle complex decision-making (DM) problems...

Smarandache defined a neutrosophic set to handle problems involving incompleteness, indeterminacy, and awareness of inconsistency knowledge, and have further developed it neutrosophic soft expert sets. In this paper, this concept is further expanded to generalized neutrosophic soft expert set (GNSES). We then define its basic operations of compleme...

We introduce a new type of relations called complex multi-fuzzy relation (CMFR). The novelty of CMFR lies in the ability of complex multi-membership functions to achieve more range of values while handling uncertainty of data that is periodic in nature. The application of complex multi-fuzzy sets is then discussed in determining: the influence of m...

The idea of the Q-neutrosophic soft set emerges from the neutrosophic soft set by upgrading the membership functions to a two-dimensional entity which indicate uncertainty, indeterminacy and falsity. Hence, it is able to deal with two-dimensional inconsistent, imprecise, and indeterminate information appearing in real life situations. In this study...

This article describes how Smarandache defined neutrosophic sets to handle problems involving incomplete, indeterminacy and awareness of inconsistency knowledge, and is further developed to neutrosophic soft expert sets by Sahin et al. Adam and Hassan defined multi Q-fuzzy soft sets as an extension to fuzzy soft sets and gave its applications. This...

A new approach is undertaken to solve the fully fuzzy multiobjective linear programming (FFMLP) problem. The coefficients of the objective functions, constraints, right hand side parameters, and variables are of the Triangular Fuzzy Number (TrFN)s. A solution strategy, called Compromise Solution Algorithm (CSA), is presented using a three-step proc...

The notion of classical soft multisets is extended to neutrosophic vague soft multisets by applying the theory of soft
multisets to neutrosophic vague sets to be more effective and useful. We also define its basic operations, namely complement,
subset, union, intersection along with illustrative examples, and study some related properties with supp...

We introduce the mapping on complex neutrosophic soft expert sets. Further, we investigated the basic operations and other related properties of complex neutrosophic soft expert image and complex neutrosophic soft expert inverse image of complex neutrosophic soft expert sets.

The purpose of this study is to present and to validate a research model that includes
economic sustainability, social sustainability, environmental sustainability and corporate reputation in the context of public-sector organizations in Pakistan. The methodological approach is survey-based, using partial least squares structural equation modelling...

Q-neutrosophic soft sets are essentially neutrosophic soft sets characterized by three independent two-dimensional membership functions which stand for uncertainty, indeterminacy and falsity. Thus, it can be applied to two-dimensional imprecise, indeterminate and inconsistent data which appear in most real life problems. Relations are a suitable to...

This paper introduces a novel soft computing technique, called the complex neutrosophic soft expert relation (CNSER), to evaluate the degree of interaction between two hybrid models called complex neutrosophic soft expert sets (CNSESs). CNSESs are used to represent two-dimensional data that are imprecise, uncertain, incomplete and indeterminate. Mo...

This paper presents a novel complex neutrosophic soft expert set (CNSES) concept. The range of values of CNSES is extended to the unit circle in the complex plane by adding an additional term called the phase term which describes CNSES’s elements in terms of the time aspect. CNSES is a hybrid structure of soft sets and single-valued neutrosophic se...

A study on multiobjective stochastic linear programming (MSLP) problems with partial information on probability distribution is conducted. A method is proposed to utilise the concept of dominated solution for the multiobjective linear programming (MLP) problems, and find a pareto optimal solution (POS) without converting the MLP problem into its un...

Coronary artery disease affects millions of people all over the world including a major portion in Egypt every year. Although much progress has been done in medical science, early detection of this disease is still a challenge for prevention. In this paper we, will extend the concept of fuzzy soft set theory so as to develop a knowledge-based syste...

Introducing the notions of soft t-sets, soft t*-sets, soft beta-sets, soft alpha*-sets and soft C-sets in the setting of soft topological spaces, we study some of its properties and investigate the relationships between them besides considering some variants of continuous maps on soft topological spaces.

In this paper, we introduce the concept of complex multi-fuzzy sets (CMk FSs) as a generalization of the concept of multi-fuzzy sets by adding the phase term to the definition of multi-fuzzy sets. In other words, we extend the range of multi-membership function from the interval [0,1] to unit circle in the complex plane. The novelty of CMkFSs lies...

A weighted non-preemptive multi-criteria model is built to optimize the distribution of students into academic departments of a faculty by taking into account the limits of space capacity, financial allocation, the number of instructors and affirmative action quotas. Each constraint has a weight attached. This model is applied to the Faculty of Sci...

The notion of classical soft sets is extended to neutrosophic vague soft sets by applying the theory of soft sets to neutrosophic vague sets to be more effective and useful. We also define its null, absolute and basic operations, namely complement, subset, equality, union and intersection along with illustrative examples, and study some related pro...

We propose a new concept which is a generalization of fuzzy soft subset and fuzzy soft equal. Using such notions, we will be able to consider the distributive law of fuzzy soft sets. Using the distributive law of fuzzy soft sets, we point out that the distributive law of trapezoidal fuzzy soft sets as proposed by Xiao et al. (2012) is not true. The...

In this paper, we extend the two concepts of bipolar fuzzy sets and soft expert sets to bipolar fuzzy soft expert sets. We will define its basic theoretic operation, namely complement, union, intersection, AND and OR on bipolar fuzzy soft expert sets along with illustrative examples, and study some related properties with supporting proofs. The bas...

In this paper, we extend the notion of classical soft expert sets to possibility neutrosophic vague soft expert sets by applying the theory of soft expert sets to possibility neutrosophic vague soft sets. The subset, complement, union, intersection, AND and OR operations as well as some related concepts pertaining to this notion are defined.

We define Einstein product and Einstein sum of vague soft sets and using these operations, we introduce an adjustable approach to vague soft set based decision-making, for solving decision-making in uncertain situation. The feasibility of our proposed vague soft set based decision-making procedure in practical application is shown by some numerical...

The aim of this paper is to correct the assertions (3) and (4) of Theorem 3.23 proposed by Zhang and Shu [Journal of Intelligent and Fuzzy Systems 27 (2014) 2115-2125]. A counterexample illustrates the flaw of the assertions. We introduce the notion of generalized possibility multi-fuzzy soft sets and use it to correct the flaw in those assertions....

Zhang and Zhang (2013) proposed an extended soft set model called trapezoidal interval type-2 fuzzy soft sets by combining trapezoidal interval type-2 fuzzy sets and soft sets and showed some examples of its operations, along with an application in decision making. However, we found that some results are incorrect. Thus the purpose of this note is...

In this article we use the concept of a multi Q-fuzzy set for defining a multi Q-fuzzy soft interval set and propose properties and corresponding theorems. An adjustable approach is presented by means of average probability. Finally, a novel concept called soft interval cut-sets is proposed for dealing with decision making problems based on multi Q...

In this paper, we recall the concept of vague soft expert set theory and its operations. We define the AND and OR operations of vague soft expert set and some properties. We prove the De Morgan’s law on vague soft expert set. We then provide an illustrative example of vague soft expert set and its application in decision making.