Interval Truth Values and Intuitionistic Fuzzy Set

Masao Mukaidono

doi:10.14864/softscis.2006.0.502.0

SCIS & ISIS 2006

Session ID : TH-A4-2

DOI https://doi.org/10.14864/softscis.2006.0.502.0

Conference information

Host: Japan SOciety for Fuzzy Theory and intelligent informatics

Co-host: The Korea Fuzzy Logic and Intelligent Systems Society, IEEE Computational Intelligence Society, The International Fuzzy Systems Association, 21th Century COE Program "Creation of Agent-Based Social Systems Sciences"

TH-A4 Invited Session

Interval Truth Values and Intuitionistic Fuzzy Set

*Masao Mukaidono

Author information

Keywords: interval truth values, intuitionistic fuzzy set, fuzzy logic

CONFERENCE PROCEEDINGS FREE ACCESS

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Abstract

The concept of an intuitionistic fuzzy set is a generalization of the concept of a fuzzy set. An intuitionistic fuzzy set has three values for any element of universe of discourse U, that is, a degree of membership(A), a degree of non-membership(B) and a degree of unknown (or hesitancy )( C). We can treat a degree of contradiction by using an extended interval truth value. In this presentation the relationship and the algebraic properties of intuitionistic fuzzy sets and extended interval truth values are clarified.

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