模糊软推理三Ⅰ约束理论的一般表示

王璐, 秦克云

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

数学季刊 >

2018 , Vol. 33 >Issue 4: 331 - 340

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

模糊软推理三Ⅰ约束理论的一般表示

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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.

录用日期: 2017-08-27

网络出版日期: 2020-10-07

基金资助

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

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General Expressions of Triple I Restriction Methods for Fuzzy Soft Reasoning

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College of Mathematics, Southwest Jiaotong University

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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摘要

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.

关键词： Fuzzy soft reasoning; Triple I restriction method; Implication operator

本文引用格式

王璐, 秦克云 . 模糊软推理三Ⅰ约束理论的一般表示[J]. 数学季刊, 2018 , 33(4) : 331 -340 . DOI: 10.13371/j.cnki.chin.q.j.m.2018.04.001

Abstract

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

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