On some generalized correlation coefficients of the fuzzy sets and fuzzy soft sets with application in cleanliness ranking of public health centres

2019 ◽  
Vol 36 (4) ◽  
pp. 3671-3683 ◽  
Author(s):  
Sonam Sharma ◽  
Surender Singh
Keyword(s):  
Public Health ◽  
Fuzzy Sets ◽  
Correlation Coefficients ◽  
Soft Sets ◽  
Health Centres ◽  
Fuzzy Soft Sets ◽  
Generalized Correlation

scholarly journals Generalized Picture Fuzzy Soft Sets and Their Application in Decision Support Systems

Symmetry ◽  
2019 ◽  
Vol 11 (3) ◽  
pp. 415 ◽  
Author(s):  
Muhammad Khan ◽  
Poom Kumam ◽  
Shahzaib Ashraf ◽  
Wiyada Kumam
Keyword(s):  
Decision Support ◽  
Decision Support Systems ◽  
Fuzzy Sets ◽  
Support Systems ◽  
Soft Information ◽  
Fuzzy Soft Set ◽  
Soft Sets ◽  
Existing Structures ◽  
Fuzzy Soft Sets ◽  
Picture Fuzzy Sets

In this paper, a generalized picture fuzzy soft set is proposed, which is an extension of the picture fuzzy soft sets. We investigate the basic properties of picture fuzzy soft sets and define an F-subset, M-subset, extended union, extended intersection, restricted union, restricted intersection and also prove the De Morgan’s laws for picture fuzzy soft information. We investigate upper and lower substitution for both picture fuzzy sets and generalized picture fuzzy soft sets. Meanwhile, the related proofs are given in detail. Finally, we propose an algorithm to deal with generalized picture fuzzy soft information. To show the supremacy and effectiveness of the proposed technique, we illustrate a descriptive example using generalized picture fuzzy soft information. Results indicate that the proposed technique is more generalized and effective over all the existing structures of fuzzy soft sets.

On lattice ordered intuitionistic fuzzy soft sets

2018 ◽  
Vol 7 (1-2) ◽  
pp. 46-61 ◽  
Author(s):  
Tahir Mahmood ◽  
Muhammad Irfan Ali ◽  
Muhammad Aamir Malik ◽  
Waseem Ahmed
Keyword(s):  
Decision Making ◽  
Fuzzy Sets ◽  
Intuitionistic Fuzzy Sets ◽  
Soft Sets ◽  
Intuitionistic Fuzzy ◽  
Decision Making Problem ◽  
Fuzzy Soft Sets ◽  
Intuitionistic Fuzzy Soft Sets

Lattices, soft sets, fuzzy sets and their generalizations have always been important for Mathematicians and the researchers working on uncertaities. In this paper our aim is to introduce the concept of lattice ordered intuitionistic fuzzy soft sets. After introducing extended union, extended intersection,  AND-product, OR-product, basic union, basic intersection of intuitionistic fuzzy soft sets, in this paper the affects of lattice ordered intuitionistic fuzzy soft sets and anti-lattice ordered intuitionistic fuzzy soft sets on restricted union, restricted intersection, extended union, extended intersection,AND-product, OR-product, basic union, basic intersection of intuitionistic fuzzy sets are discussed. Further a decision making problem is solved by using these concepts.

scholarly journals On Some Nonclassical Algebraic Properties of Interval-Valued Fuzzy Soft Sets

2014 ◽  
Vol 2014 ◽  
pp. 1-11 ◽  
Author(s):  
Xiaoyan Liu ◽  
Feng Feng ◽  
Hui Zhang
Keyword(s):  
Fuzzy Sets ◽  
Soft Computing ◽  
General Framework ◽  
Soft Sets ◽  
Computing Model ◽  
Special Cases ◽  
Algebraic Properties ◽  
Different Types ◽  
Fuzzy Soft Sets ◽  
Interval Valued

Interval-valued fuzzy soft sets realize a hybrid soft computing model in a general framework. Both Molodtsov’s soft sets and interval-valued fuzzy sets can be seen as special cases of interval-valued fuzzy soft sets. In this study, we first compare four different types of interval-valued fuzzy soft subsets and reveal the relations among them. Then we concentrate on investigating some nonclassical algebraic properties of interval-valued fuzzy soft sets under the soft product operations. We show that some fundamental algebraic properties including the commutative and associative laws do not hold in the conventional sense, but hold in weaker forms characterized in terms of the relation=L. We obtain a number of algebraic inequalities of interval-valued fuzzy soft sets characterized by interval-valued fuzzy soft inclusions. We also establish the weak idempotent law and the weak absorptive law of interval-valued fuzzy soft sets using interval-valued fuzzy softJ-equal relations. It is revealed that the soft product operations∧and∨of interval-valued fuzzy soft sets do not always have similar algebraic properties. Moreover, we find that only distributive inequalities described by the interval-valued fuzzy softL-inclusions hold for interval-valued fuzzy soft sets.

scholarly journals On Complex Intuitionistic Fuzzy Soft Sets with Distance Measures and Entropies

2014 ◽  
Vol 2014 ◽  
pp. 1-12 ◽  
Author(s):  
Tanuj Kumar ◽  
Rakesh Kumar Bajaj
Keyword(s):  
Fuzzy Sets ◽  
Real Life ◽  
Multicriteria Decision Making ◽  
Intuitionistic Fuzzy Sets ◽  
Distance Measures ◽  
Soft Sets ◽  
Intuitionistic Fuzzy ◽  
Life Problems ◽  
Fuzzy Soft Sets ◽  
Intuitionistic Fuzzy Soft Sets

We introduce the concept of complex intuitionistic fuzzy soft sets which is parametric in nature. However, the theory of complex fuzzy sets and complex intuitionistic fuzzy sets are independent of the parametrization tools. Some real life problems, for example, multicriteria decision making problems, involve the parametrization tools. In order to get their new entropies, some important properties and operations on the complex intuitionistic fuzzy soft sets have also been discussed. On the basis of some well-known distance measures, some new distance measures for the complex intuitionistic fuzzy soft sets have also been obtained. Further, we have established correspondence between the proposed entropies and the distance measures of complex intuitionistic fuzzy soft sets.

scholarly journals Some Properties of Intuitionistic Fuzzy Soft Rings

2013 ◽  
Vol 2013 ◽  
pp. 1-8 ◽  
Author(s):  
B. A. Ersoy ◽  
S. Onar ◽  
K. Hila ◽  
B. Davvaz
Keyword(s):  
Fuzzy Sets ◽  
Intuitionistic Fuzzy Sets ◽  
Soft Sets ◽  
Basic Properties ◽  
Intuitionistic Fuzzy ◽  
Fuzzy Soft Sets ◽  
Intuitionistic Fuzzy Soft Sets

Maji et al. introduced the concept of intuitionistic fuzzy soft sets, which is an extension of soft sets and intuitionistic fuzzy sets. In this paper, we apply the concept of intuitionistic fuzzy soft sets to rings. The concept of intuitionistic fuzzy soft rings is introduced and some basic properties of intuitionistic fuzzy soft rings are given. Intersection, union, AND, and OR operations of intuitionistic fuzzy soft rings are defined. Then, the deffinitions of intuitionistic fuzzy soft ideals are proposed and some related results are considered.

scholarly journals Fuzzy Transforms for Hesitant, Soft or Intuitionistic Fuzzy Sets

2021 ◽  
Vol 14 (1) ◽  
Author(s):  
Jiří Močkoř
Keyword(s):  
Fuzzy Sets ◽  
Intuitionistic Fuzzy Sets ◽  
Classical Lattice ◽  
Soft Or ◽  
Soft Sets ◽  
Intuitionistic Fuzzy ◽  
Fuzzy Soft Sets ◽  
Analogical Approach

AbstractClassical F-transform for lattice-valued fuzzy sets can be defined using monadic relation in Zadeh’s monad or, equivalently, as a special semimodule homomorphism. In this paper, we use an analogical approach and by choosing suitable monads and semimodule homomorphisms, we define F-transform for hesitant, intuitionistic or fuzzy soft sets. We prove that these F-transforms naturally extend classical lattice-valued F-transform for lattice-valued fuzzy sets.

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