A Total Order for Symmetric Triangular (Interval) Fuzzy Numbers

• Autores: T C Asmus, G. P. Dimuro
• Localización: Mathware & soft computing: The Magazine of the European Society for Fuzzy Logic and Technology, ISSN-e 1134-5632, Vol. 20, Nº. 1, 2013, págs. 76-85
• Idioma: inglés
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• Resumen

  • In type-2 fuzzy sets it is possible to model not only vague information (lack of sharp class boundaries, i.e., gradations in the notion of membership), but also uncertainty (lack of information about the membership function). In particular, interval-valued fuzzy numbers are specified by interval-valued membership functions. In the modeling of some applications (e.g, decision making, game theory), it is enough to consider symmetric triangular interval fuzzy numbers. One particular problem that may arise in such applications is the ordering or ranking interval fuzzy numbers. The aim of this paper is to introduce a total order for symmetric triangular (interval) fuzzy numbers, based on the also proposed total order for fuzzy numbers.