Muhammad Riaz1, Harish Garg2, Hafiz Muhammad Athar Farid1, Ronnason Chinram3,4,*
CMES-Computer Modeling in Engineering & Sciences, Vol.127, No.2, pp. 771-800, 2021, DOI:10.32604/cmes.2021.014174
Abstract This paper aims to introduce the novel concept of the bipolar picture fuzzy set (BPFS) as a hybrid structure of
bipolar fuzzy set (BFS) and picture fuzzy set (PFS). BPFS is a new kind of fuzzy sets to deal with bipolarity (both
positive and negative aspects) to each membership degree (belonging-ness), neutral membership (not decided),
and non-membership degree (refusal). In this article, some basic properties of bipolar picture fuzzy sets (BPFSs)
and their fundamental operations are introduced. The score function, accuracy function and certainty function
are suggested to discuss the comparability of bipolar picture fuzzy numbers (BPFNs). Additionally, the concept… More >
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