An Extension to Zadeh´s Truth Qualification Principle for Resolution of Self-Referential Sentences: Towards a Comprehensive Theory of Type-2 Fuzzy Possibility

Author

Rajati, Mohammad Reza ; Menhaj, Mohammad Bagher ; Khaloozadeh, Hamid

Author_Institution

Dept. of Electr. Eng., K.N. Toosi Univ. of Technol., Tehran

fYear

2006

fDate

20-22 Aug. 2006

Firstpage

1

Lastpage

8

Abstract

The purpose of this paper is to formulate truth-value assignment to self-referential sentences via Zadeh´s truth qualification principle and to present new methods to assign truth-values to them. Therefore, based on the truth qualification process, a new interpretation of possibilities and truth-values is suggested by means of type-2 fuzzy sets and then, the qualification process is modified such that it results in type-2 fuzzy sets. Finally, an idea of a comprehensive theory of type-2 fuzzy possibility is proposed. This approach may be unified with Zadeh´s Generalized Theory of Uncertainty (GTU) in the future.

Keywords

fuzzy logic; fuzzy set theory; possibility theory; truth maintenance; type theory; uncertainty handling; Zadeh truth qualification principle; self-referential sentence resolution; truth-value assignment; type-2 fuzzy possibility; type-2 fuzzy set; uncertainty handling; Computation theory; Fuzzy set theory; Fuzzy sets; Fuzzy systems; Humans; Machine intelligence; Machinery; Possibility theory; Qualifications; Uncertainty;

fLanguage

English

Publisher

ieee

Conference_Titel

Computational Cybernetics, 2006. ICCC 2006. IEEE International Conference on

Conference_Location

Budapest

Print_ISBN

1-4244-0071-6

Electronic_ISBN

1-4244-0072-4

Type

conf

DOI

10.1109/ICCCYB.2006.305717

Filename

4097678