Interval-valued pointwise sustaining degree fuzzy reasoning methods based on the left-continuous t-representable t-norms

Author:

Luo Minxia1,Xu Donghui1

Affiliation:

1. Department of Information and Computing Science, China Jiliang University, Hangzhou, PR China

Abstract

 In this paper, the concept of α (x, y)-interval-valued pointwise sustaining degree based on the left-continuous t-representable t-norms is put forward. And then, as a general extension based on the interval-valued pointwise sustaining degree, the interval-valued α (x, y)-full implication triple I method model, the interval-valued α (x, y)-quintuple implication principle models and the interval-valued α (x, y)-similarity measure method models are given. Moreover, the interval-valued R -type α (x, y)-fuzzy reasoning solutions with triple I method, quintuple implication principle and similarity measure method are given. Some existing results are special cases of the main conclusions in this paper.

Publisher

IOS Press

Subject

Artificial Intelligence,General Engineering,Statistics and Probability

Reference41 articles.

1. A constructive method for the definition of interval-valued fuzzy implication operators;Alcalde;Fuzzy Sets and Systems,2005

2. Davey B.A. and Priestley H.A. , Introduction to Lattices and Order, Cambridge University Press, Cambridge, 1990.

3. Fuzzy sets in approximate reasoning, Part 1: Inference with possibility distributions;Dubois;Fuzzy Sets and Systems,1991

4. Fuzzy sets in approximate reasoning, Part 2: Logic approaches;Dubois;Fuzzy Sets and Systems,1991

5. On the representation of intuitionistic fuzzy t-norms and t-conorms;Deschrijver;IEEE Transactions on Fuzzy Systems,2004

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