An interval fuzzy truth-value approach to the generalized modus ponens

Author

Yen, John ; Lee, Bogju

Author_Institution

Dept. of Comput. Sci., Texas A&M Univ., College Station, TX, USA

fYear

1995

Firstpage

792

Lastpage

797

Abstract

One of the desirable properties of generalized modus ponens in fuzzy logic is: if X is A→Y is B, and X is not A, then Y is unknown. From a truth-value viewpoint, “unknown” can be represented as the interval [0,1]. However most existing fuzzy reasoning mechanisms use the truth value 1 to represent “unknown”. In this paper, we propose a new approach to fuzzy reasoning based on a possible world approach. We show that our approach obtains the desired interval truth valve [0,1] when the the antecedent is known to be false. We also compare our approach to Baldwin´s (1979) and Godo´s (1989) approaches and discuss the impact of the proposed approach to other desired properties of generalized modus ponens and generalized modus tollens

Keywords

fuzzy logic; generalisation (artificial intelligence); inference mechanisms; uncertainty handling; false antecedent; fuzzy logic; fuzzy reasoning mechanisms; generalized modus ponens; generalized modus tollens; interval fuzzy truth-value approach; possible world approach; unknown truth value; Computer science; Databases; Fuzzy control; Fuzzy logic; Fuzzy reasoning; Fuzzy sets; Fuzzy systems; Hybrid intelligent systems; Intelligent systems; Upper bound;

fLanguage

English

Publisher

ieee

Conference_Titel

Uncertainty Modeling and Analysis, 1995, and Annual Conference of the North American Fuzzy Information Processing Society. Proceedings of ISUMA - NAFIPS '95., Third International Symposium on

Conference_Location

College Park, MD

Print_ISBN

0-8186-7126-2

Type

conf

DOI

10.1109/ISUMA.1995.527797

Filename

527797