Redefined fuzzy Hv-submodules and many valued implications

  • Authors:

  • B. Davvaz;P. Corsini

  • Affiliations:

  • Department of Mathematics, Yazd University, 89195-741 Yazd, Iran;Dipartimento di Matematica e Informatica, Via delle Scienze 206, 33100 Udine, Italy

  • Venue:
  • Information Sciences: an International Journal
  • Year:
  • 2007

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Abstract

This paper considers a relationship between fuzzy sets and algebraic hyperstructures. A generalization of ideas presented by Davvaz [B. Davvaz, Fuzzy H"v-submodules, Fuzzy Sets Syst. 117 (2001) 477-484] and Bhakat and Das [S.K. Bhakat, P. Das, (@?,@?@?q)-fuzzy subgroup, Fuzzy Sets Syst. 80 (1996) 359-368], is presented. In fact, the main purpose of this paper is to introduce and study a new sort of fuzzy H"v-submodule of an H"v-module called (@?,@?@?q)-fuzzy H"v-submodules. These fuzzy H"v-submodules are characterized by their level H"v-submodules. The concept of a fuzzy H"v-submodule with thresholds is introduced, and some interesting properties are investigated.