[1]LUO Minxia,SANG Ni,HE Huacan.The reverse triple I algorithms based on a class of residual implications induced by the family of SchweizerSklar tnorms[J].CAAI Transactions on Intelligent Systems,2012,7(6):494-500.
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The reverse triple I algorithms based on a class of residual implications induced by the family of SchweizerSklar tnorms

CAAI Transactions on Intelligent Systems[ISSN 1673-4785/CN 23-1538/TP] Volume: 7 Number of periods: 2012 6 Page number: 494-500 Column: 学术论文—智能系统 Public date: 2012-12-25
Title:
The reverse triple I algorithms based on a class of residual implications induced by the family of SchweizerSklar tnorms
Author(s):
LUO Minxia1;  SANG Ni1;  HE Huacan2
1. College of Sciences, China Jiliang University, Hangzhou 310018, China;
2. School of Computer Science, Northwestern Polytechnical University, Xi′an 710072, China
Keywords:
fuzzy reasoning;  reverse triple I algorithm;  SchweizerSklar tnorms;  fuzzy modus ponens;  fuzzy modus tollens
CLC:
TP18
DOI:
-
Abstract:
Since the family of SchweizerSklar tnorms is flexible, they have good characteristics for fuzzy reasoning based on the logic systems which are based on these operators. Combining the fuzzy reasoning reverse triple I algorithm and a class of residual implications induced by the family of SchweizerSklar tnorms, the reverse triple I algorithms and αreverse triple I algorithm are proposed, as well as the corresponding expressions of reverse triple I solutions and αreverse triple I solutions. Combined with the characteristics of the class of residual implications induced by the family of SchweizerSklar tnorms, this paper discusses the reverse triple I algorithm based on→D,→L,→G,→P, when the parameter takes some special values, and the corresponding expressions of reverse triple I solutions are proposed. A flexible fuzzy reasoning reverse triple I algorithm is provided.
References:
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