Characterization of the Ranking Indices of Triangular Fuzzy Numbers

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Abstract

We find necessary and sufficient conditions for a ranking index defined on the set of triangular fuzzy numbers as a linear combination of its components to rank effectively. Then, based on this result, we characterize the class of ranking indices which generates orderings on triangular fuzzy numbers satisfying the basic requirements by Wang and Kerre in a slightly modified form. © Springer International Publishing Switzerland 2014.

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Ban, A. I., & Coroianu, L. (2014). Characterization of the Ranking Indices of Triangular Fuzzy Numbers. In Communications in Computer and Information Science (Vol. 443 CCIS, pp. 254–263). Springer Verlag. https://doi.org/10.1007/978-3-319-08855-6_26

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