scholarly journals Hesitant Anti-Fuzzy Soft Set in BCK-Algebras

2017 ◽  
Vol 2017 ◽  
pp. 1-13 ◽  
Author(s):  
Halimah Alshehri ◽  
Noura Alshehri
Keyword(s):  
Soft Set ◽  
Fuzzy Soft Set ◽  
The Relationship

We introduce the notions of hesitant anti-fuzzy soft set (subalgebras and ideals) and provide relation between them. However, we study new types of hesitant anti-fuzzy soft ideals (implicative, positive implicative, and commutative). Also, we stated and proved some theorems which determine the relationship between these notions.

scholarly journals On Soft Quantum B-Algebras and Fuzzy Soft Quantum B-Algebras

2021 ◽  
Vol 2021 ◽  
pp. 1-8
Author(s):  
Xiongwei Zhang ◽  
Sultan Aljahdali ◽  
Ahmed Mostafa Khalil
Keyword(s):  
Set Theory ◽  
Deductive System ◽  
Soft Set ◽  
The Novel ◽  
Fuzzy Soft Set ◽  
Basic Properties ◽  
The Relationship

This paper aims to make a combination between the quantum B-algebras (briefly, X - A s) and two interesting theories (e.g., soft set theory and fuzzy soft set theory). Firstly, we propose the novel notions of soft quantum B-algebras (briefly, S ℚ B - A s), a soft deductive system of ℚ B - A s, and deducible soft quantum B-algebras (briefly, DS ℚ B - A s). Then, we discuss the relationship between S ℚ B - A s and DS ℚ B - A s. Furthermore, we investigate the union and intersection operations of DS ℚ B - A s. Secondly, we introduce the notions of a fuzzy soft quantum B-algebras (briefly, FS ℚ B - A s), a fuzzy soft deductive system of ℚ B - A s, and present some characterizations of FS ℚ B - A s, along with several examples. Finally, we explain the basic properties of homomorphism image of FS ℚ B - A s.

scholarly journals Fuzzy Soft Topology Based on Generalized Intersection and Generalized Union of Fuzzy Soft Sets

2021 ◽  
Vol 2021 ◽  
pp. 1-12
Author(s):  
Jingshui Ping ◽  
Guangming Xue
Keyword(s):  
Soft Set ◽  
Fuzzy Soft Set ◽  
Soft Sets ◽  
Soft Topology ◽  
Union Operation ◽  
Fuzzy Soft Sets ◽  
Topological Construction ◽  
The Relationship

In this study, the generalized intersection and union operations of fuzzy soft set (FSS) are established on the basis of traditional FSS operations, which overcome the shortcomings of traditional FSS operations that do not meet De Morgan’s law, and a series of properties of generalized intersection and union operations of FSS are obtained. The fuzzy soft topology under generalized intersection and generalized union operation of FSSs is established. Finally, the topological construction of weak FSS and strong FSS is discussed, and the relationship between them and the topological construction of traditional FSS is obtained.

scholarly journals The multi-fuzzy soft set and its application in decision making

2013 ◽  
Vol 37 (7) ◽  
pp. 4915-4923 ◽  
Author(s):  
Yong Yang ◽  
Xia Tan ◽  
Congcong Meng
Keyword(s):  
Decision Making ◽  
Soft Set ◽  
Fuzzy Soft Set

scholarly journals Generalised Interval-Valued Fuzzy Soft Set

2012 ◽  
Vol 2012 ◽  
pp. 1-18 ◽  
Author(s):  
Shawkat Alkhazaleh ◽  
Abdul Razak Salleh
Keyword(s):  
Decision Making ◽  
Similarity Measure ◽  
Fuzzy Set ◽  
Medical Diagnosis ◽  
Soft Set ◽  
Fuzzy Soft Set ◽  
Soft Sets ◽  
Decision Making Problem ◽  
Fuzzy Soft Sets ◽  
Interval Valued

We introduce the concept of generalised interval-valued fuzzy soft set and its operations and study some of their properties. We give applications of this theory in solving a decision making problem. We also introduce a similarity measure of two generalised interval-valued fuzzy soft sets and discuss its application in a medical diagnosis problem: fuzzy set; soft set; fuzzy soft set; generalised fuzzy soft set; generalised interval-valued fuzzy soft set; interval-valued fuzzy set; interval-valued fuzzy soft set.

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