Interval fuzzy truth-value approach to the generalized modus ponens

John Yen, Bogju Lee

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Citation (Scopus)

Abstract

One of the desirable properties of generalized modus ponens in fuzzy logic is X is A → Y is B X is not A/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 value [0, 1] when the antecedent is known to be false. We also compare our approach to Baldwin's and Godo's approaches and discuss the impact of the proposed approach to other desired properties of generalized modus ponens and generalized modus tollens.

Original languageEnglish (US)
Title of host publicationProc 3 Int Symp Uncert Model Anal Annu Conf North Amer Fuzzy Inf Process Soc
PublisherIEEE
Pages792-797
Number of pages6
StatePublished - 1995
EventProceedings of the 3rd International Symposium on Uncertainty Modeling and Analysis and Annual Conference of the North American Fuzzy Information Processing Society, (ISUMA - NAFIPS'95) - College Park, MD, USA
Duration: Sep 17 1995Sep 20 1995

Other

OtherProceedings of the 3rd International Symposium on Uncertainty Modeling and Analysis and Annual Conference of the North American Fuzzy Information Processing Society, (ISUMA - NAFIPS'95)
CityCollege Park, MD, USA
Period9/17/959/20/95

Fingerprint

Generalized Modus Ponens
Fuzzy Intervals
Fuzzy logic
Fuzzy Reasoning
Unknown
Interval
Fuzzy Logic
Truth

All Science Journal Classification (ASJC) codes

  • Computer Science(all)
  • Mathematics(all)

Cite this

Yen, J., & Lee, B. (1995). Interval fuzzy truth-value approach to the generalized modus ponens. In Proc 3 Int Symp Uncert Model Anal Annu Conf North Amer Fuzzy Inf Process Soc (pp. 792-797). IEEE.
Yen, John ; Lee, Bogju. / Interval fuzzy truth-value approach to the generalized modus ponens. Proc 3 Int Symp Uncert Model Anal Annu Conf North Amer Fuzzy Inf Process Soc. IEEE, 1995. pp. 792-797
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Yen, J & Lee, B 1995, Interval fuzzy truth-value approach to the generalized modus ponens. in Proc 3 Int Symp Uncert Model Anal Annu Conf North Amer Fuzzy Inf Process Soc. IEEE, pp. 792-797, Proceedings of the 3rd International Symposium on Uncertainty Modeling and Analysis and Annual Conference of the North American Fuzzy Information Processing Society, (ISUMA - NAFIPS'95), College Park, MD, USA, 9/17/95.

Interval fuzzy truth-value approach to the generalized modus ponens. / Yen, John; Lee, Bogju.

Proc 3 Int Symp Uncert Model Anal Annu Conf North Amer Fuzzy Inf Process Soc. IEEE, 1995. p. 792-797.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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Yen J, Lee B. Interval fuzzy truth-value approach to the generalized modus ponens. In Proc 3 Int Symp Uncert Model Anal Annu Conf North Amer Fuzzy Inf Process Soc. IEEE. 1995. p. 792-797