Concept Of Fuzzy Soft Sets Research Articles

On ((Τ ) ̃^*-N)^η-Fuzzy Soft Quasi Normal Operators

The concept of fuzzy soft sets is considered more versatile and widely applicable than traditional soft set theory, as the latter struggles to handle the fuzziness of problem parameters effectively. In this study, we introduce and describe the fuzzy soft quasinormal operator in a more concise manner. This operator is defined on a fuzzy soft Hilbert space, based on the notion of a fuzzy soft vector space, which has been adapted to an FS-inner product space in this work. We present various characterizations and results related to the fuzzy soft quasinormal operator, demonstrating that it serves as an appropriate example of FS-Hilbert spaces, alongside other related examples. Furthermore, we explore the relationships between these categories. Finally, we provide some fundamental guidelines on this topic.

Utilization of interval-valued intuitionistic fuzzy soft set in the health sector

The soft set theory plays a key role for dealing with uncertainty, fuzziness and vagueness. The concept of fuzzy soft set which can be seen as a new mathematical approach to vagueness is used in many applications including reliability evaluation, multi criteria decision making and medical diagnosis problems. Later, it is generalized to an interval-valued intuitionistic fuzzy soft set. In this attempt we present the definition and operations of an interval-valued intuitionistic fuzzy soft set. Furthermore, based on the analysis of several operations on interval-valued intuitionistic fuzzy soft set in the study, we provide some notions such as the restricted intersection and restricted union of two interval-valued intuitionistic fuzzy soft sets for selection of appropriate hospital for patient affected by specific dieses.

(<img src=image/13426382_01.gif>)-Anti-Intuitionistic Fuzzy Soft b-Ideals in BCK/BCI-Algebras

Among many algebraic structures, algebras of logic form an essential class of algebras. BCK and BCI-algebras are two classes of logical algebras. They were introduced by Imai and Iséki [6, 7] in 1966 and have been extensively investigated by many researchers. The concept of fuzzy soft sets is introduced in [17] to generalize standard soft sets [21]. The concept of intuitionistic fuzzy soft sets is introduced by Maji et al. [18], which is based on a combination of the intuitionistic fuzzy set [2] and soft set models. The first section will discuss the origins and importance of studies in this article. Section 2 will review the definitions of a BCK/BCI-algebra, a soft set, a fuzzy soft set, and an intuitionistic fuzzy soft set and show the essential properties of BCK/BCI-algebras to be applied in the next section. In Section 3, the concept of an anti-intuitionistic fuzzy soft b-ideal (AIFSBI) is discussed in BCK/BCI-algebras, and essential properties are provided. A set of conditions is provided for an AIFSBI to be an anti-intuitionistic fuzzy soft ideal (AIFSI). The definition of quasi-coincidence of an intuitionistic fuzzy soft point with an intuitionistic fuzzy soft set (IFSS) is considered in a more general form. In Section 4, the concepts of an (<img src=image/13426382_01.gif>)-AFSBI and an (<img src=image/13426382_01.gif>)-AIFSBI of <img src=image/13426382_02.gif> are introduced, and some characterizations of (<img src=image/13426382_01.gif>)-AIFSBI are discussed using the concept of an AIFSBI with thresholds. Finally, conditions are given for a (<img src=image/13426382_01.gif>)-AIFSBI to be a (∈,∈)-AIFSBI.

SIFAT-SIFAT MATRIKS LUNAK FUZZY INTUISIONISTIK

Fuzzy soft sets is one of the mathematical tools that are used to deal with the problem of uncertainty, such as problems in the field of economic, health, and others. The concept of fuzzy soft sets is extended into intuitiononistic fuzzy soft sets to intuitiononistic fuzzy soft matrices. This article examines the intuitionistic fuzzy soft matrix and defines the various types and operations of the intuitionistic fuzzy soft matrix. In addition, the application of an intuitionistic fuzzy soft matrix is ​​given to decision-making problems such as the selection of swimming athletes who have the best swimming techniques.

The TOPSIS of Different Ideal Solution and Distance Formula of Fuzzy Soft Set in Multi-Criteria Decision Making

Molodtsov pioneered the concept of fuzzy soft set, which was a hybrid of fuzzy set and soft set. The fuzzy soft set is used in the Technique for Order Preference by Similarity to Ideal Solution (TOPSIS) method to deal with imprecision in order to obtain the best compromise solution, which is the solution that is closest to the ideal solution, and the theory is demonstrated using multi-observer performance evaluation. Two distinct FPIS and FNIS values were used in this study: maximum and minimum values, as well as universal set values (1,1,1). (0,0,0). Additionally, this study utilised three distinct distance formulas: separation distance, Euclidean distance, and Chu's distance. Two numerical examples of multi- criteria decision making (MCDM) problems were used in this study to demonstrate the methods' consistency. Thus, it is demonstrated that our proposed methods are consistent with the ranking given by both examples.

Application of Repeated Average Method on Generalized Fuzzy Soft Matrix for Decision Making

Molodtsov introduced the theory of soft sets, which can be seen as a new mathematical approach to vagueness. Maji and his associates have further initiated several basic notions of soft set theory. They have also introduced the concept of fuzzy soft set, a more generalized concept, which is a combination of fuzzy set and soft set. In this paper, Repeated Average Method has been used in Generalized Fuzzy Soft Matrix for prompt decision making.&#x0D; Asiat. Soc. Bangladesh, Sci. 45(2): 249-259, December 2019

Intuitionistic Fuzzy Soft Hyper BCK Algebras

Maji et al. introduced the concept of fuzzy soft sets as a generalization of the standard soft sets, and presented an application of fuzzy soft sets in a decision-making problem. Maji et al. also introduced the notion of intuitionistic fuzzy soft sets in the paper [P.K. Maji, R. Biswas and A.R. Roy, Intuitionistic fuzzy soft sets, The Journal of Fuzzy Mathematics, 9 (2001), no. 3, 677–692]. The aim of this manuscript is to apply the notion of intuitionistic fuzzy soft set to hyper BCK algebras. The notions of intuitionistic fuzzy soft hyper BCK ideal, intuitionistic fuzzy soft weak hyper BCK ideal, intuitionistic fuzzy soft s-weak hyper BCK-ideal and intuitionistic fuzzy soft strong hyper BCK-ideal are introduced, and related properties and relations are investigated. Characterizations of intuitionistic fuzzy soft (weak) hyper BCK ideal are considered. Conditions for an intuitionistic fuzzy soft weak hyper BCK ideal to be an intuitionistic fuzzy soft s-weak hyper BCK ideal are provided. Conditions for an intuitionistic fuzzy soft set to be an intuitionistic fuzzy soft strong hyper BCK ideal are given.

Fuzzy soft graphs with applications

A fuzzy soft set is a mapping from parameter set to the fuzzy subsets of universe. Fuzzy soft set theory provides a parameterized point of view for uncertainty modeling and soft computing model. In this research article, we apply the concept of fuzzy soft sets to graphs. We present the concept of fuzzy soft graphs, various methods of their construction, and investigate some of their related properties. We discuss certain types of irregular fuzzy soft graphs. We also describe applications of fuzzy soft graphs in social network and road network.

Fuzzy Soft Gamma Semigroups

The aim of this paper is to apply the concept of fuzzy soft sets over a Γ -semigroup. Here the notion of fuzzy soft ideals over a Γ -semigroup has been introduced. The special union, intersection and product of fuzzy soft ideals over a Γ -semigroup have been defined and proved that these are also fuzzy soft Γ -ideals over the Γ -semigroup.

English

In this paper to study some basic properties of fuzzy soft topological spaces, we define quasi fuzzy soft compactness. We also introduced some basic definitions of compact space and theorems of the concept. Keyword-Fuzzy soft topology, soft set, fuzzy soft compactness, weakly and Strong fuzzy compact spaces. I.INTRODUCTION In many complicated problems arising in the fields of engineering, social science, Economics, Environment, medical science etc. have various uncertainties. Fuzzy soft sets are very useful structures arising in many problems encountered in real life. The theory soft sets was initiated by Molodtsov[4 ] in 1999 for modeling uncertainty present in real life. Roughly speaking a soft set is a parameterized classification of the objects of the universe P.K.Maji , R. Biswas ,A.R.Roy[ 8] also initiated in more generalized concept of fuzzy soft sets which is a combination of fuzzy set and soft set . In recent times, researchers have contributed a lot towards fuzzification of soft set. Neog, Sut ,Hazarika[10 ] introduced fuzzy soft topological spaces . Some others ([5], [6], [7] , [9]) studied on the compact fuzzy soft topological spaces. My main aim in this paper is to develop the basic properties of quasi fuzzy soft compact spaces and establish several equivalent forms of fuzzy soft compactness which are useful applications.

A new kind of fuzzy n-ary hypergroups in the framework of soft set theory.

Maji et al. introduced the concept of fuzzy soft sets as a generalization of the standard soft sets and presented an application of fuzzy soft sets in a decision making problem. The aim of this paper is to apply the concept of fuzzy soft sets to n-ary hypergroup theory. The concepts of (∈γ, ∈γ∨q δ)-fuzzy soft (invertible) n-ary subhypergroups over a commutative n-ary hypergroup are introduced and some related properties and characterizations are obtained. The homomorphism properties of (∈γ, ∈γ∨q δ)-fuzzy soft (invertible) n-ary subhypergroups are also derived.

Mobile Cloud Computing Network Attack and Defense Learning System Based on Fuzzy Soft Sets

In this paper, we propose a new decision-making system ranking method for the virtual machine startup problems by introducing the concept of fuzzy soft sets. Then this method is used for virtual machine management by AMCCM way. It turns the management of a network attack and defense learning system from semi-automatic to fully automatic. Based on the functional and structural design of mobile cloud computing network attack and defense learning system, we hope to bring new ideas to the field of mobile cloud computing.

Fuzzy soft set theory applied to BCK/BCI-algebras

In the paper [P.K. Maji, R. Biswas, A.R. Roy, Fuzzy soft sets, J. Fuzzy Math. 9 (3) (2001) 589–602], Maji et al. introduced the concept of fuzzy soft sets as a generalization of the standard soft sets, and presented an application of fuzzy soft sets in a decision making problem. The aim of this manuscript is to apply fuzzy soft set for dealing with several kinds of theories in BCK/BCI-algebras. The notions of fuzzy soft BCK/BCI-algebras, (closed) fuzzy soft ideals and fuzzy soft p -ideals are introduced, and related properties are investigated.