期刊
FUZZY SETS AND SYSTEMS
卷 324, 期 -, 页码 74-90出版社
ELSEVIER SCIENCE BV
DOI: 10.1016/j.fss.2017.03.015
关键词
Type-2 fuzzy sets; Functions from [0,1] to [0,1]; Normal and convex functions; Aggregation operator
资金
- UPM (Spain)
- UNET (Venezuela)
Cubillo et al. in 2015 established the axioms that an operation must fulfill to be an aggregation operator on a bounded poset (partially ordered set), in particular on M (set of fuzzy membership degrees of T2FSs, which are the functions from [0, 1] to [0, 1]). Previously, Takac in 2014 had applied Zadeh's extension principle to obtain a set of operators on M which are, under some conditions, aggregation operators on L*, the set of strongly normal and convex functions of M. In this paper, we introduce a more general set of operators on M than were given by Takac, and we study, among other properties, the conditions required to satisfy the axioms of the aggregation operator on L (set of normal and convex functions on M), which includes the set L*. (C) 2017 Elsevier B.V. All rights reserved.
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