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Another view on q‐rung orthopair fuzzy sets
Author(s) -
Ali Muhammad Irfan
Publication year - 2018
Publication title -
international journal of intelligent systems
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.291
H-Index - 87
eISSN - 1098-111X
pISSN - 0884-8173
DOI - 10.1002/int.22007
Subject(s) - fuzzy set , set (abstract data type) , fuzzy logic , computer science , constant (computer programming) , orbit (dynamics) , mathematics , algorithm , discrete mathematics , artificial intelligence , engineering , programming language , aerospace engineering
In this paper, two new approaches have been presented to view q‐rung orthopair fuzzy sets. In the first approach, these can viewed as L‐fuzzy sets, whereas the second approach is based on the notion of orbits. Uncertainty index is the quantityH A ( x ) = 1 − ( A + ( x ) ) q − ( A − ( x ) ) q , which remains constant for all points in an orbit. Certain operators can be defined in q‐ROF sets, which affectH A ( x )when applied to some q‐ROF sets. Operators I δ , M δ , ν , and K δ , νhave been defined. It is studied that how these operators affectH A ( x )when applied to some q‐ROF set A .