General Expressions of Triple I Restriction Methods for Fuzzy Soft Reasoning

doi:10.13371/j.cnki.chin.q.j.m.2018.04.001

Chinese Quarterly Journal of Mathematics ›› 2018, Vol. 33 ›› Issue (4): 331-340.doi: 10.13371/j.cnki.chin.q.j.m.2018.04.001

College of Mathematics, Southwest Jiaotong University

Accepted:2017-08-27 Online:2018-12-30 Published:2020-10-07
About author:WANG Lu(1994-), female, master student, the main research direction is fuzzy set theory; QIN Ke-yun(1962-), male, professor, doctoral supervisor, CCF senior member (member number: E200005802S),the main research direction is rough set theory, grain calculation, multi-valued logic.
Supported by:
supported by the National Natural Science Foundation of China(61473239,61372187,61673320)；

Abstract

Abstract: The aim of this paper is to discuss the Triple Ⅰ restriction reasoning methods for fuzzy soft sets. Triple Ⅰ restriction principles for fuzzy soft modus ponens(FSMP) and fuzzy soft modus tollens(FSMT) are proposed, and then, the general expressions of the Triple Ⅰ restriction reasoning method for FSMP and FSMT with respect to residual pairs are presented respectively. Finally, the optimal restriction solutions for Lukasiewicz and Godel implication operators are examined.

Key words: Fuzzy soft reasoning, Triple I restriction method, Implication operator

CLC Number:

O159

WANG Lu, QIN Ke-yun. General Expressions of Triple I Restriction Methods for Fuzzy Soft Reasoning[J]. Chinese Quarterly Journal of Mathematics, 2018, 33(4): 331-340.

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General Expressions of Triple I Restriction Methods for Fuzzy Soft Reasoning

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