Fuzzy triangular aggregation operators
type: Item
instance of: scholarly article
title: Fuzzy triangular aggregation operators
zbMATH Open document ID: 1457.68267
DOI: 10.1155/2018/9209524
author: Ulrich Florian Simo
author: Henri Gwet
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 2018-05-25T00:00:00Z
review text: Summary: We present a new class of fuzzy aggregation operators that we call \textit{fuzzy triangular aggregation operators}. To do so, we focus on the situation where the available information cannot be assessed with exact numbers and it is necessary to use another approach to assess uncertain or imprecise information such as fuzzy numbers. We also use the concept of triangular norms (t-norms and t-conorms) as pseudo-arithmetic operations. As a result, we get notably the fuzzy triangular weighted arithmetic (FTWA), the fuzzy triangular ordered weighted arithmetic (FTOWA), the fuzzy generalized triangular weighted arithmetic (FGTWA), the fuzzy generalized triangular ordered weighted arithmetic (FGTOWA), the fuzzy triangular weighted quasi-arithmetic (Quasi-FTWA), and the fuzzy triangular ordered weighted quasi-arithmetic (Quasi-FTOWA) operators. Main properties of these operators are discussed as well as their comparison with other existing ones. The fuzzy triangular aggregation operators not only cover a wide range of useful existing fuzzy aggregation operators but also provide new interesting cases. Finally, an illustrative example is also developed regarding the selection of strategies.
Mathematics Subject Classification ID: 68T37
Mathematics Subject Classification ID: 03E72
zbMATH DE Number: 6873233
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2018/9209524
OpenAlex ID: W2789627406
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description: scientific article; zbMATH DE number 6873233