General Expressions of Triple I Restriction Methods for Fuzzy Soft Reasoning

WANG Lu, QIN Ke-yun

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

General Expressions of Triple I Restriction Methods for Fuzzy Soft Reasoning

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College of Mathematics, Southwest Jiaotong University

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.

Accepted date: 2017-08-27

Online published: 2020-10-07

Supported by

supported by the National Natural Science Foundation of China(61473239,61372187,61673320)；

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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

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

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