Journal
INFORMATION SCIENCES
Volume 271, Issue -, Pages 1-13Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.ins.2014.02.116
Keywords
Aggregation operator; Fuzzy truth values; Type-2 fuzzy sets; Type-2 aggregation operator; Type-1 aggregation operator; FTV aggregation operator; n-Dimensional fuzzy set; Fuzzy interval analysis
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Funding
- [VEGA 1/0419/13]
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The main aim of this paper is to propose an Fly aggregation operator, which is a tool for aggregation of fuzzy truth values (fuzzy sets in [0,1]), and to provide a theoretical basis for the concept of FTV aggregation operator. We extend (ordinary) aggregation operator via convolution and show that the extension satisfies stated axioms, i.e. this approach leads to constructing of FTV aggregation operator. Furthermore, we show that our definition of FTV aggregation operator is an extension of usual definition of aggregation operator as well as of definition of aggregation operators for intervals and for n-dimensional intervals. (C) 2014 Elsevier Inc. All rights reserved.
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