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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
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REPRESENTATION THEOREM OF INTERVAL-VALUED FUZZY SET

International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 2006
In this paper, we introduce the concept of interval-valued nested set on the universal set X, propose two representation theorems and equivalent classification theorem of interval-valued fuzzy set. These works can be used in setting up the basic theory of interval-valued fuzzy set.
Zeng, Wenyi, Shi, Yu, Li, Hongxing
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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, Abdul Razak Salleh   +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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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, Fang, Shu-Cherng, Nuttle, Henry L. W.   +2 more
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Note on Interval-Valued Fuzzy Set

2005
In this note, we introduce the concept of cut set of interval-valued fuzzy set and discuss some properties of cut set of interval-valued fuzzy set, propose three decomposition theorems of interval-valued fuzzy set and investigate some properties of cut set of interval-valued fuzzy set and mapping H in detail.
Wenyi Zeng, Yu Shi
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ORDINAL SUMS IN INTERVAL-VALUED FUZZY SET THEORY [PDF]

New 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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Distances between interval-valued fuzzy sets

NAFIPS 2009 - 2009 Annual Meeting of the North American Fuzzy Information Processing Society, 2009
In this paper, some researches on distances of interval-valued fuzzy sets are made and some properties of metric space with respect to these distances are discussed.
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