General Expressions of Triple Ⅰ Restriction Methods for Fuzzy Soft Reasoning  

模糊软推理三Ⅰ约束理论的一般表示（英文）

作　　者：WANG Lu QIN Ke-yun 王璐;秦克云(College of Mathematics,Southwest Jiaotong University,Chengdu,Sichuan,610031,China)

机构地区：[1]College of Mathematics,Southwest Jiaotong University,Chengdu,Sichuan,610031,China

出　　处：《Chinese Quarterly Journal of Mathematics》2018年第4期331-340,共10页数学季刊（英文版）

基　　金：supported by the National Natural Science Foundation of China(61473239,61372187,61673320)

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 

分 类 号：O144.3[理学—数学]