期刊
TRANSACTIONS OF A RAZMADZE MATHEMATICAL INSTITUTE
卷 172, 期 2, 页码 164-175出版社
ELSEVIER SCIENCE BV
DOI: 10.1016/j.trmi.2017.10.006
关键词
Fuzzy set; Fuzzy arithmetic; Extension principle; Picture fuzzy set
类别
Picture fuzzy set (PFS) is a recently developed tool to deal with uncertainty which is a direct extension of intuitionistic fuzzy set (IFS) that can model uncertainty in such situations involving more answers of these types: yes, abstain, no. In this paper, (alpha, delta, beta)-cut and strong (alpha, delta, beta)-cut of PFS have been defined and decomposition theorems of PFS are proved. Later on extension principle for PFS has been defined and studied some of its properties. Finally, picture fuzzy arithmetic based on extension principle has been performed with examples. (C) 2017 Ivane Javakhishvili Tbilisi State University. Published by Elsevier B.V.
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