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APPLICATION OF INTERVAL VALUED FUZZY SET AND SOFT SET

jnanabha, 2020
Molodtsov was a father of soft set approach. We can’t easily settle the membership degree in some practical application. So it must be much better to describe interval-valued data instead of explaining membership degree. In this paper, we introduce the latest approach of the interval-valued fuzzy soft set by combining the interval-valued fuzzy set and ...
Rheem, Abdul, Ahmad, Musheer
openaire   +2 more sources

Multiple attribute decision making based on probabilistic interval-valued intuitionistic hesitant fuzzy set and extended TOPSIS method

Journal of Intelligent & Fuzzy Systems, 2019
Interval-valued intuitionistic hesitant fuzzy set (IVIHFS) has a key role in multiple attribute decision making (MADM) problems due to its ability to represent the decision maker’s hesitant opinions using preferred and non-preferred intervals.
Avijit De, Sujit Das, S. Kar
semanticscholar   +1 more source

Interval-valued complex fuzzy soft sets

AIP Conference Proceedings, 2017
Type-2 fuzzy sets allow us to incorporate the uncertainties about the membership functions into fuzzy sets, thereby overcoming a problem that is inherent in type-1 fuzzy sets, which does not allow for any uncertainty in assigning values to the membership functions.
Ganeshsree Selvachandran   +1 more
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Interval valued fuzzy sets and fuzzy measures

NAFIPS/IFIS/NASA '94. Proceedings of the First International Joint Conference of The North American Fuzzy Information Processing Society Biannual Conference. The Industrial Fuzzy Control and Intelligent Systems Conference, and the NASA Joint Technology Wo, 2002
Interval valued fuzzy set generated by fuzzy disjunctive and conjunctive normal forms are proposed to be a model of type II fuzzy sets to represent the second order semantic uncertainty realized by the combination of two or more fuzzy, vague, linguistic concepts by linguistic connectives.
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Another view on generalized interval valued intuitionistic fuzzy soft set and its applications in decision support system

Journal of Intelligent & Fuzzy Systems, 2020
As a combination of an interval-valued intuitionistic fuzzy soft set (IVIFSS) and interval-valued intuitionistic fuzzy set (IVIFS), the existing notion of the generalized interval-valued intuitionistic fuzzy soft set (GIVIFSS) is clarified and ...
Muhammad Jabir Khan   +3 more
semanticscholar   +1 more source

Solution Sets of Interval-Valued Fuzzy Relational Equations

Fuzzy Optimization and Decision Making, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wang, Shunmin   +2 more
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ORDINAL SUMS IN INTERVAL-VALUED FUZZY SET THEORY [PDF]

open access: possibleNew Mathematics and Natural Computation, 2005
Interval-valued fuzzy sets form an extension of fuzzy sets which assign to each element of the universe a closed subinterval of the unit interval. This interval approximates the "real", but unknown, membership degree. In fuzzy set theory, an important class of triangular norms is the class of those that satisfy the residuation principle.
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Cut Sets on Interval-Valued Intuitionistic Fuzzy Sets

2009 Sixth International Conference on Fuzzy Systems and Knowledge Discovery, 2009
The aim of this article is to study the cut sets of interval valued intuitionistic fuzzy sets. By considering the cut sets of an interval-valued intuitionistic fuzzy set as five valued fuzzy sets, the definitions of four cut sets on interval-valued intuitionistic fuzzy sets are given, which are the generalizations of cuts sets on Zadeh fuzzy sets and ...
Xue-Hai Yuan, Hong-xing Li
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Uninorms on Interval-Valued Fuzzy Sets

2016
This paper is a kind of continuation of the paper by G. Deschrijver ‘Uninorms which are neither conjunctive nor disjunctive in interval-valued fuzzy set theory’, which was published in Information Sciences in 2013. In that paper he constructed uninorms whose neutral element is arbitrary of the type \({\mathbf e}=(e,e)\) and annihilator, \(\mathbf {a}\),
Martin Kalina, Pavol Král
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