Entropy on intuitionistic fuzzy soft sets and on interval-valued fuzzy soft sets

Authors:
Yuncheng Jiang;Yong Tang;Hai Liu;Zhenzhou Chen
Affiliations:
-;-;-;-
Venue:
Information Sciences: an International Journal
Year:
2013

Citing 48
Cited 1

Interval valued fuzzy sets based on normal forms

Fuzzy Sets and Systems
A method for inference in approximate reasoning based on interval-valued fuzzy sets

Fuzzy Sets and Systems
Interval valued intuitionistic fuzzy sets

Fuzzy Sets and Systems
Entropy, distance measure and similarity measure of fuzzy sets and their relations

Fuzzy Sets and Systems
Entropy on intuitionistic fuzzy sets and on interval-valued fuzzy sets

Fuzzy Sets and Systems
Entropy for intuitionistic fuzzy sets

Fuzzy Sets and Systems
Fuzzy Sets and Systems: Theory and Applications

Fuzzy Sets and Systems: Theory and Applications
Some new fuzzy entropy formulas

Fuzzy Sets and Systems
On the relationship between some extensions of fuzzy set theory

Fuzzy Sets and Systems - Theme: Basic notions
Fuzzy entropy on intuitionistic fuzzy sets: Research Articles

International Journal of Intelligent Systems
A fuzzy soft set theoretic approach to decision making problems

Journal of Computational and Applied Mathematics
Subsethood, entropy, and cardinality for interval-valued fuzzy sets---An algebraic derivation

Fuzzy Sets and Systems
Soft sets and soft groups

Information Sciences: an International Journal
Applications of soft sets in ideal theory of BCK/BCI-algebras

Information Sciences: an International Journal
Soft BCK/BCI-algebras

Computers & Mathematics with Applications
Soft semirings

Computers & Mathematics with Applications
Data analysis approaches of soft sets under incomplete information

Knowledge-Based Systems
Letter to the editor: Comment on "A fuzzy soft set theoretic approach to decision making problems"

Journal of Computational and Applied Mathematics
Soft set theory applied to ideals in d-algebras

Computers & Mathematics with Applications
On some new operations in soft set theory

Computers & Mathematics with Applications
A combined forecasting approach based on fuzzy soft sets

Journal of Computational and Applied Mathematics
Combination of interval-valued fuzzy set and soft set

Computers & Mathematics with Applications
Entropy of interval-valued fuzzy sets based on distance and its relationship with similarity measure

Knowledge-Based Systems
Introduction to fuzzy soft groups

Computers & Mathematics with Applications
Soft p-ideals of soft BCI-algebras

Computers & Mathematics with Applications
Vague soft sets and their properties

Computers & Mathematics with Applications
More on Intuitionistic Fuzzy Soft Sets

RSFDGrC '09 Proceedings of the 12th International Conference on Rough Sets, Fuzzy Sets, Data Mining and Granular Computing
Intuitionistic fuzzy sets

Fuzzy Sets and Systems
Relationship between similarity measure and entropy of interval valued fuzzy sets

Fuzzy Sets and Systems
Discussion: Terminological difficulties in fuzzy set theory---The case of “Intuitionistic Fuzzy Sets”

Fuzzy Sets and Systems
Generalised fuzzy soft sets

Computers & Mathematics with Applications
Expressive fuzzy description logics over lattices

Knowledge-Based Systems
A fuzzy soft flood alarm model

Mathematics and Computers in Simulation
An adjustable approach to fuzzy soft set based decision making

Journal of Computational and Applied Mathematics
Exclusive disjunctive soft sets

Computers & Mathematics with Applications
Soft BL-algebras based on fuzzy sets

Computers & Mathematics with Applications
Extending soft sets with description logics

Computers & Mathematics with Applications
Fuzzy soft set theory applied to BCK/BCI-algebras

Computers & Mathematics with Applications
On soft equality

Journal of Computational and Applied Mathematics
Soft matrix theory and its decision making

Computers & Mathematics with Applications
Soft sets and soft rings

Computers & Mathematics with Applications
Interval-valued intuitionistic fuzzy soft sets and their properties

Computers & Mathematics with Applications
Kernels and closures of soft set relations, and soft set relation mappings

Computers & Mathematics with Applications
Entropy, similarity measure of interval-valued intuitionistic fuzzy sets and their applications

Information Sciences: an International Journal
Transitive closures and orderings on soft sets

Computers & Mathematics with Applications
The relationship between similarity measure and entropy of intuitionistic fuzzy sets

Information Sciences: an International Journal
Texture classification using a novel, soft-set theory based classification algorithm

ACCV'06 Proceedings of the 7th Asian conference on Computer Vision - Volume Part I
Some properties of equivalence soft set relations

Computers & Mathematics with Applications

Intelligent jamming region division with machine learning and fuzzy optimization for control of robot's part micro-manipulative task

Information Sciences: an International Journal

Quantified Score

Hi-index	0.07

Visualization

Abstract

Molodtsov initiated the concept of soft set theory, which can be used as a generic mathematical tool for dealing with uncertainty. However, it has been pointed out that classical soft sets are not appropriate to deal with imprecise and fuzzy parameters. In order to handle these types of problem parameters, some fuzzy (or intuitionistic fuzzy, interval-valued fuzzy) extensions of soft set theory are presented, yielding fuzzy (or intuitionistic fuzzy, interval-valued fuzzy) soft set theory. In this paper, we define the distance measures between intuitionistic fuzzy soft sets and give an axiom definition of intuitionistic entropy for an intuitionistic fuzzy soft set and a theorem which characterizes it. Furthermore, we discuss the relationship between intuitionistic fuzzy soft sets and interval-valued fuzzy soft sets and transform the structure of entropy for intuitionistic fuzzy soft sets to the interval-valued fuzzy soft sets.