"Least Sensitive (Most Robust) Fuzzy "Exclusive Or" Operations" by Jesus E. Hernandez and Jaime Nava

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Departmental Technical Reports (CS)

Title

Least Sensitive (Most Robust) Fuzzy "Exclusive Or" Operations

Authors

Jesus E. Hernandez, University of Texas at El PasoFollow
Jaime Nava, University of Texas at El PasoFollow

Publication Date

12-2010

Comments

Technical Report: UTEP-CS-10-31a

Published in Proceedings of the 30th Annual Conference of the North American Fuzzy Information Processing Society NAFIPS'2011, El Paso, Texas, March 18-20, 2011.

Abstract

In natural language, "or" sometimes means "inclusive or" and sometimes means "exclusive or". To adequately describe commonsense and expert knowledge, it is therefore important to have not only t-conorms describing fuzzy "inclusive or" operations, but also fuzzy "exclusive or" operations f(a,b). Since the degrees of certainty are only approximately defined, it is reasonable to require that the corresponding operation be the least sensitive to small changes in the inputs. In this paper, we show that the least sensitive fuzzy "exclusive or" operation has the form f(a,b)=min(max(a,b),max(1-a,1-b)).

tr10-31.pdf (72 kB)
Original file: CS-UTEP-10-31

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