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

Authors : Arif Bal, Gökhan Çuvalcioğlu, Cansu Altinci

Pages : 114-130

Doi:10.33773/jum.1232944

View : 14 | Download : 7

Publication Date : 2023-01-31

Article Type : Research

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