Computing with Words -- When Results Do Not Depend on the Selection of the Membership Function

Authors

Christopher W. Tovar, The University of Texas at El PasoFollow
Carlos Cervantes, The University of Texas at El PasoFollow
Mario Delgado, The University of Texas at El PasoFollow
Stephanie Figueroa, The University of Texas at El PasoFollow
Caleb Gillis, The University of Texas at El PasoFollow
Daniel Gomez, The University of Texas at El PasoFollow
Andres Llausas, The University of Texas at El PasoFollow
Julio C. Lopez Molinar, The University of Texas at El PasoFollow
Mariana Rogriguez, The University of Texas at El PasoFollow
Alexander Wieczkowski, The University of Texas at El PasoFollow
Francisco Zapata, The University of Texas at El PasoFollow
Vladik Kreinovich, The University of Texas at El PasoFollow

Publication Date

11-2018

Comments

Technical Report: UTEP-CS-18-86

Abstract

Often, we need to transform natural-language expert knowledge into computer-understandable numerical form. One of the most successful ways to do it is to use fuzzy logic and membership functions. The problem is that membership functions are subjective. It is therefore desirable to look for cases when the results do not depend on this subjective choice. In this paper, after describing a known example of such a situation, we list several other examples where the results do not depend on the subjective choice of a membership function.