Abstract | ||
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The fuzzy XNOR connective, as the dual construction of the fuzzy symmetric difference operator, has been defined and discussed by Li, Qin and He [18]. The aim of this paper is to give a systematic investigation of properties and structures of fuzzy XNOR connectives. The main results are: (1) It is proved that the biresiduation of a t-norm is indeed a fuzzy XNOR connective. (2) The structures and properties for biresiduations and two canonical constructions of fuzzy XNOR connectives given in [18] are examined. The associativity of fuzzy XNOR connectives is specially investigated. (3) Three additional ways of constructing fuzzy XNOR connectives are proposed. |
Year | DOI | Venue |
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2017 | 10.3233/JIFS-16845 | JOURNAL OF INTELLIGENT & FUZZY SYSTEMS |
Keywords | Field | DocType |
Symmetric difference operator,equivalence operator,fuzzy XNOR connective,t-Norm,t-Conorm,fuzzy negation | XNOR gate,Fuzzy logic,Arithmetic,Artificial intelligence,Mathematics,Machine learning | Journal |
Volume | Issue | ISSN |
32 | 3 | 1064-1246 |
Citations | PageRank | References |
0 | 0.34 | 13 |
Authors | ||
4 |
Name | Order | Citations | PageRank |
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Xingxing He | 1 | 84 | 13.90 |
Yingfang Li | 2 | 68 | 7.41 |
Keyun Qin | 3 | 480 | 39.80 |
Dan Meng | 4 | 476 | 67.10 |