Malaysian Journal of Mathematical Sciences, September 2023, Vol. 17, No. 3
Circular $q$-Rung Orthopair Fuzzy Set and Its Algebraic Properties
Yusoff, B., Kilicman, A., Pratama, D., and Hasni, R.
Corresponding Email: binyamin@umt.edu.my
Received date: 18 May 2023
Accepted date: 20 July 2023
Abstract:
Circular intuitionistic fuzzy sets (CIFS) are a recent extension of intuitionistic fuzzy sets (IFS) that can handle imprecise membership values effectively. However, its representation is limited to the space under the intuitionistic fuzzy interpretation triangle (IFIT). To address this, a new generalization of CIFS called circular $q$-rung orthopair fuzzy sets (C$q$-ROFS) is proposed, extending the IFIT to cover a larger space of imprecision. Several relations and operations, including algebraic operations for C$q$-ROFS are proposed. In addition, modal operators and their properties are then investigated.
Keywords: circular intuitionistic fuzzy sets; $q$-rung orthopair fuzzy sets; circular $q$-rung orthopair fuzzy sets; algebraic properties; modal operators
Indexing
