Very and more or less in non-commutative fuzzy logic

  • Authors:

  • Esfandiar Eslami;Hamid Khosravi;Faramarz Sadeghi

  • Affiliations:

  • Shahid Bahonar University of Kerman, Faculty of Mathematics and Computer Science, Kerman, Iran and International Center for Science and High Technology and Environment Sciences, Kerman, Iran;Shahid Bahonar University of Kerman, Faculty of Mathematics and Computer Science, Kerman, Iran and International Center for Science and High Technology and Environment Sciences, Kerman, Iran;Shahid Bahonar University of Kerman, Faculty of Mathematics and Computer Science, Kerman, Iran and International Center for Science and High Technology and Environment Sciences, Kerman, Iran

  • Venue:
  • Soft Computing - A Fusion of Foundations, Methodologies and Applications - Special issue on BISCSE 2005 " Forging the Frontiers" Part II
  • Year:
  • 2007

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Abstract

In this paper we consider fuzzy subsets of a universe as L-fuzzy subsets instead of [ 0, 1 ]-valued, where L is a complete lattice. We enrich the lattice L by adding some suitable operations to make it into a pseudo-BL algebra. Since BL algebras are main frameworks of fuzzy logic, we propose to consider the non-commutative BL-algebras which are more natural for modeling the fuzzy notions. Based on reasoning with in non-commutative fuzzy logic we model the linguistic modifiers such as very and more or less and give an appropriate membership function for each one by taking into account the context of the given fuzzy notion by means of resemblance L-fuzzy relations.