模糊软推理三Ⅰ约束理论的一般表示

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

数学季刊 ›› 2018, Vol. 33 ›› Issue (4): 331-340.doi: 10.13371/j.cnki.chin.q.j.m.2018.04.001

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模糊软推理三Ⅰ约束理论的一般表示

College of Mathematics, Southwest Jiaotong University

接受日期:2017-08-27 出版日期:2018-12-30 发布日期:2020-10-07
作者简介: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.
基金资助:
supported by the National Natural Science Foundation of China(61473239,61372187,61673320)；

General Expressions of Triple I Restriction Methods for Fuzzy Soft Reasoning

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)；

摘要/Abstract

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

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

中图分类号:

O159

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.

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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模糊软推理三Ⅰ约束理论的一般表示

General Expressions of Triple I Restriction Methods for Fuzzy Soft Reasoning

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