Fuzzy Implications and Inference Processes

Authors

  • József Tick
  • János Fodor

Keywords:

Fuzzy inference, implications, t-norms and t-conorms, nilpotent minimum

Abstract

We define fuzzy implications in general, then study their families defined from t-norms, t-conorms and strong negations. Connections between such implications and negations are established. Some basic results are presented concerning the contrapositive symmetry property. The study gives birth to a new class of t-norms. Members of this family, together with the corresponding R-implications, have attractive properties making them competitive in different applications, especially in fuzzy inference rules.

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Published

2012-02-06

How to Cite

Tick, J., & Fodor, J. (2012). Fuzzy Implications and Inference Processes. Computing and Informatics, 24(6), 591–602. Retrieved from http://147.213.75.17/ojs/index.php/cai/article/view/402