Fundamentals of M-vague algebra and M-vague arithmetic operations

  • Authors:
  • Mustafa Demirci

  • Affiliations:
  • Akdeniz University, Faculty of Science and Arts, Department of Mathematics, 07058-Antalya/Turkey

  • Venue:
  • International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems
  • Year:
  • 2002

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Abstract

In the present work, the development of a new and general theory of algebraic concepts based on *-fuzzy equalities and strong fuzzy functions is begun, and several fundamental results are established under the name M-vague algebra. As a natural implementation of the M-vague algebraic approach, new kinds of arithmetic operations, namely M-vague arithmetic operations, are introduced using an approach different from the traditional approach to fuzzy arithmetic operations, and various kinds of M-vague algebraic properties of M-vague arithmetic operations are investigated.