(α,β)-INTERVAL VALUED INTUITIONISTIC FUZZY SETS DEFINED ON (α,β)-INTERVAL VALUED SET
In this paper, (α,β)-interval valued set is studied. The order relation on (α,β)-interval valued set is defined. It is shown that (α,β)-interval valued set is complete lattice by giving the definitions of infumum and supremum on these sets. Then, negation function on these sets is introduced.
Arif BAL +2 more
openaire +2 more sources
Triangular norms which are join-morphisms in 3-dimensional fuzzy set theory [PDF]
The n-dimensional fuzzy sets have been introduced as a generalization of interval-valued fuzzy sets, Atanassov's intuitionistic and interval-valued intuitionistic fuzzy sets.
Deschrijver, Glad
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Join and Meet Operations for Type-2 Fuzzy Sets With Nonconvex Secondary Memberships [PDF]
In this paper, we will present two theorems for the join and meet operations for general type-2 fuzzy sets with arbitrary secondary memberships, which can be nonconvex and/or nonnormal type-1 fuzzy sets.
Bustince, H +4 more
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Bi-ideals of ordered semigroups based on the interval-valued fuzzy point [PDF]
Interval-valued fuzzy set theory (advanced generalization of Zadeh’s fuzzy sets) is a more generalized theory that can deal with real world problems more precisely than ordinary fuzzy set theory.
Khan, Asghar +3 more
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On Some Nonclassical Algebraic Properties of Interval-Valued Fuzzy Soft Sets
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.
Xiaoyan Liu, Feng Feng, Hui Zhang
doaj +1 more source
Interval-Valued Fuzzy Parameterized Intuitionistic Fuzzy Soft Sets and Their Applications
In recent years, the fuzzy sets, interval-valued fuzzysets, intuitionistic fuzzy sets and soft sets, which offer differentperspectives for the structures containing the uncertainties, have attractedthe interest of many researchers.
Hüseyin Kamacı
doaj +1 more source
On inf-Hesitant Fuzzy Γ-Ideals of Γ-Semigroups
The notions of an inf-hesitant fuzzy Γ-ideal and a sup,inf-hesitant fuzzy Γ-ideal, which are a generalization of an interval-valued fuzzy Γ-ideal, of a Γ-semigroup are introduced and some properties are investigated.
Pongpun Julatha, Aiyared Iampan
doaj +1 more source
Interval-valued and intuitionistic fuzzy mathematical morphologies as special cases of L-fuzzy mathematical morphology [PDF]
Mathematical morphology (MM) offers a wide range of tools for image processing and computer vision. MM was originally conceived for the processing of binary images and later extended to gray-scale morphology.
Deschrijver, Glad +5 more
core +1 more source
Interval Type-2 Fuzzy Sets are Generalization of Interval-Valued Fuzzy Sets: Toward a Wider View on Their Relationship [PDF]
In this paper, we will present a wider view on the relationship between interval-valued fuzzy sets and interval type-2 fuzzy sets, where we will show that interval-valued fuzzy sets are a particular case of the interval type-2 fuzzy sets. For this reason,
Barrenechea, Edurne +5 more
core +3 more sources
On modular inequalities of interval-valued fuzzy soft sets characterized by soft J-inclusions [PDF]
This study aims to explore modular inequalities of interval-valued fuzzy soft sets characterized by Jun’s soft J-inclusions. Using soft product operations of interval-valued fuzzy soft sets, we first investigate some basic properties of soft J-inclusions
Bijan Davvaz +4 more
core +1 more source

