Fuzzy logic and self-referential reasoning: a comparative study with some new concepts

  • Authors:

  • Mohammad Reza Rajati;Hamid Khaloozadeh;Witold Pedrycz

  • Affiliations:

  • Department of Electrical Engineering, University of Southern California, Los Angeles, USA and Department of Electrical Engineering, K. N. Toosi University of Technology, Tehran, Iran;Department of Electrical Engineering, K. N. Toosi University of Technology, Tehran, Iran;Department of Electrical and Computer Engineering, University of Alberta, Edmonton, Canada and Systems Research Institute, Polish Academy of Sciences, Warsaw, Poland

  • Venue:
  • Artificial Intelligence Review
  • Year:
  • 2014

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Abstract

In this paper, we consider metacognition and self-reference realized in the framework of fuzzy computing. Different aspects of self-reference are discussed from the viewpoint of logic, linguistics, and artificial intelligence. Previous work in the area of fuzzy logic is also revisited in this context. It is shown that the reasoning based on the truth qualification principle requires some modifications so that it naturally gives rise to type-2 fuzzy sets, in order to capture the uncertainty about selection of a solution for a set of self-referential statements.