THE EQUALITY OF INTUITIONİSTİC FUZZY MODAL OPERATORS E(α,β), Z(α,β,ω) and Z(α,β,ω,θ) ACCORDINGLY NEW DEFINED INTUITIONISTIC FUZZY ENTROPY

Year 2025, Volume: 8 Issue: 2, 70 - 84, 19.10.2025

Arif Bal , Sinem Tarsuslu , Dilara Gündoğdu , Gökhan Çuvalcıoğlu

https://doi.org/10.33773/jum.1725478

Abstract

A normal -entropy measure for intuitionistic fuzzy sets is proposed by using normalized Hamming distance. The operators〖 E〗_(α,β), Z_(α,β)^ω and Z_(α,β)^(ω,θ)are examined separately under obtained -entropy and it is shown that the fuzzification of that operators are equal under this -entropy.

Keywords

Intuitionistic Fyzzy Sets , Normalized sigma-distance meausre , sigma entropy , intuitionistic fuzzy modal operators

YENİ TANIMLANMIŞ BULANIK BULUT ENTROPİSİNE GÖRE E(α,β), Z(α,β,ω) ve Z(α,β,ω,θ) BULANIK BULUT MODAL OPERATÖRLERİNİN EŞİTLİĞİ

Abstract

Normalleştirilmiş Hamming uzaklığı kullanılarak sezgisel bulanık kümeler için normal bir -entropi ölçüsü önerilmiştir. Operatörler〖 E〗_(α,β), Z_(α,β)^ω ve Z_(α,β)^(ω,θ) elde edilen -entropi altında ayrı ayrı incelenmiş ve bu operatörlerin bulanıklaşmasının bu -entropi altında eşit olduğu gösterilmiştir.

Keywords

Sezgisel Bulanık Kümeler , Normalleştirilmiş sigma uzaklık ölçüsü , sigma entropi , sezgisel bulanık operatörler

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