Another view on q‐rung orthopair fuzzy sets. Issue 11 (22nd June 2018)

• Record Type: Journal Article
• Authors: Ali, Muhammad Irfan
• Is Part Of: International journal of intelligent systems. Volume 33:Issue 11(2018)
• Page Start: 2139
• Page End: 2153
• Publication Date: 2018-06-22
• Subjects: fuzzy sets -- intuitionistic fuzzy sets -- Pythagorean fuzzy sets -- operators; Artificial intelligence -- Periodicals; Expert systems (Computer science) -- Periodicals; Intelligence artificielle -- Périodiques; Systèmes experts (Informatique) -- Périodiques; 006.3
• DOI: 10.1002/int.22007
• Languages: English
• ISSNs: 0884-8173

Abstract

Abstract: 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 quantity H 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 affect H A ( x ) when applied to some q‐ROF sets. Operators I δ, M δ, ν, and K δ, ν have been defined. It is studied that how these operators affect H A ( x ) when applied to some q‐ROF set A .