Logic-Based Fuzzy Neurocomputing With Unineurons

  • Authors:
  • W. Pedrycz

  • Affiliations:
  • Dept. of Electr. & Comput. Eng., Alberta Univ., Edmonton, Alta.

  • Venue:
  • IEEE Transactions on Fuzzy Systems
  • Year:
  • 2006

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Abstract

In this paper, we introduce a new category of logic neurons- unineurons that are based on the concept of uninorms. As uninorms form a certain generalization of the generic categories of fuzzy set operators such as t-norms and t-conorms, the proposed unineurons inherit their logic processing capabilities which make them flexible and logically appealing. We discuss several fundamental categories of uninorms (such as UNI_or, UNI_and, and alike). In particular, we focus on the interpretability of networks composed of unineurons leading to several categories of rules to be exploited in rule-based systems. The learning aspects of the unineurons are presented along with detailed optimization schemes. Experimental results tackle two categories of problems such as: (a) a logic approximation of fuzzy sets, and (b) a design of associations between information granules where the ensuing development schemes directly relate to the fundamentals of granular (fuzzy) modeling