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 Neutrosophic Fuzzy Soft Game

2018 ◽  
Vol 7 (3.34) ◽  
pp. 667
Author(s):  
K Selvakumari ◽  
S Lavanya
Keyword(s):  
Set Theory ◽  
Pure Strategy ◽  
Soft Set ◽  
Mathematical Tool ◽  
Fuzzy Soft Set ◽  
Zero Sum Games ◽  
Zero Sum

The Soft set theory, originally proposed by Molodtsov, can be used as a general mathematical tool for dealing with uncertainity.This paper is devoted to the discussions of Neutrosophic fuzzy soft set. A new game modelis proposed and called Neutrosophicfuzzy soft game since it is based on Neutrosophic fuzzy soft set theory. We concentrate on discussing a class of two person zero-sum games with Neutrosophic fuzzy soft payoffs.The proposed scheme is illustrated by an example regarding the pure strategy problem.  

scholarly journals An algorithm for fuzzy soft set based decision making approach

2020 ◽  
Vol 30 (1) ◽  
pp. 59-70
Author(s):  
Shehu Mohammed ◽  
Akbar Azam
Keyword(s):  
Decision Making ◽  
Set Theory ◽  
Group Decision Making ◽  
Group Decision ◽  
Soft Set ◽  
Mathematical Tool ◽  
Fuzzy Soft Set ◽  
Soft Sets ◽  
Fuzzy Soft Sets ◽  
Priority Table

The notion of soft set theory was initiated as a general mathematical tool for handling ambiguities. Decision making is viewed as a cognitive-based human activity for selecting the best alternative. In the present time, decision making techniques based on fuzzy soft sets have gained enormous attentions. On this development, this paper proposes a new algorithm for decision making in fuzzy soft set environment by hybridizing some existing techniques. The first novelty is the idea of absolute scores. The second concerns the concept of priority table in group decision making problems. The advantages of our approach herein are stronger power of objects discrimination and a well-determined inference.

scholarly journals Application of Fuzzy Soft Set Theory in Day to Day Problems

2014 ◽  
Vol 85 (7) ◽  
pp. 27-31 ◽  
Author(s):  
Krishna Gogoi ◽  
Alock Kr. Dutta ◽  
Chandra Chutia
Keyword(s):  
Set Theory ◽  
Soft Set ◽  
Fuzzy Soft Set

scholarly journals Fuzzy Soft Multiset Theory

2012 ◽  
Vol 2012 ◽  
pp. 1-20 ◽  
Author(s):  
Shawkat Alkhazaleh ◽  
Abdul Razak Salleh
Keyword(s):  
Decision Making ◽  
Set Theory ◽  
Fuzzy Set ◽  
Soft Set ◽  
Mathematical Tool ◽  
Basic Properties ◽  
Definition Of

In 1999 Molodtsov introduced the concept of soft set theory as a general mathematical tool for dealing with uncertainty. Alkhazaleh et al. in 2011 introduced the definition of a soft multiset as a generalization of Molodtsov's soft set. In this paper we give the definition of fuzzy soft multiset as a combination of soft multiset and fuzzy set and study its properties and operations. We give examples for these concepts. Basic properties of the operations are also given. An application of this theory in decision-making problems is shown.

scholarly journals On Fuzzy Soft Sets

2009 ◽  
Vol 2009 ◽  
pp. 1-6 ◽  
Author(s):  
B. Ahmad ◽  
Athar Kharal
Keyword(s):  
Set Theory ◽  
Soft Set ◽  
Fuzzy Soft Set ◽  
Soft Sets ◽  
Fuzzy Soft Sets

We further contribute to the properties of fuzzy soft sets as defined and studied in the work of Maji et al. ( 2001), Roy and Maji (2007), and Yang et al. (2007) and support them with examples and counterexamples. We improve Proposition 3.3 by Maji et al., (2001). Finally we define arbitrary fuzzy soft union and fuzzy soft intersection and prove DeMorgan Inclusions and DeMorgan Laws in Fuzzy Soft Set Theory.

Fuzzy soft set theory with applications in hyper BCK-algebras

2020 ◽  
Vol 38 (2) ◽  
pp. 1789-1797 ◽  
Author(s):  
Hashem Bordbar ◽  
Seok-Zun Song ◽  
Mohammad Rahim Bordbar ◽  
Young Bae Jun ◽  
Keyword(s):  
Set Theory ◽  
Soft Set ◽  
Fuzzy Soft Set

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 A new approach to bipolar soft sets and its applications

2015 ◽  
Vol 07 (04) ◽  
pp. 1550054 ◽  
Author(s):  
Faruk Karaaslan ◽  
Serkan Karataş
Keyword(s):  
Decision Making ◽  
Set Theory ◽  
Soft Set ◽  
Mathematical Tool ◽  
Soft Sets ◽  
New Approach ◽  
Basic Properties ◽  
Set Operations ◽  
First Results

Molodtsov [Soft set theory-first results, Comput. Math. App. 37 (1999) 19–31] proposed the concept of soft set theory in 1999, which can be used as a mathematical tool for dealing with problems that contain uncertainty. Shabir and Naz [On bipolar soft sets, preprint (2013), arXiv:1303.1344v1 [math.LO]] defined notion of bipolar soft set in 2013. In this paper, we redefine concept of bipolar soft set and bipolar soft set operations as more functional than Shabir and Naz’s definition and operations. Also we study on their basic properties and we present a decision making method with application.

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