(α,β)-INTERVAL VALUED INTUITIONISTIC FUZZY SETS DEFINED ON (α,β)-INTERVAL VALUED SET

Year 2023, , 114 - 130, 31.01.2023

Arif Bal , Gökhan Çuvalcıoğlu , Cansu Altıncı

https://doi.org/10.33773/jum.1232944

Abstract

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.
With the help of (α,β)-interval valued set ,(α,β)-interval valued intuitionistic fuzzy sets are defined. The fundamental algebraic properties of these sets are examined. The level subsets of (α,β)-interval valued intuitionistic fuzzy sets are given. Some propositions and examples are studied.

Keywords

Interval Valued Intuitionistic Fuzzy Sets, (alpha, beta)-Interval Valued Set, (alpha, beta)-Interval Valued Intuitionistic Fuzzy Sets

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