Journal
INFORMATION SCIENCES
Volume 177, Issue 3, Pages 865-875Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.ins.2006.04.009
Keywords
hyperstructure; H-upsilon-module; fuzzy set; fuzzy logic; implication operator
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This paper considers a relationship between fuzzy sets and algebraic hyperstructures. A generalization of ideas presented by Davvaz [B. Davvaz, Fuzzy H-upsilon-submodules, Fuzzy Sets Syst. 117 (2001) 477-484] and Bhakat and Das [S.K. Bhakat, P. Das, (epsilon, epsilon V 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-upsilon-submodule of an H-upsilon-module called (epsilon, epsilon V q)-fuzzy H-upsilon-submodules. These fuzzy H-upsilon-submodules are characterized by their level H-upsilon-submodules. The concept of a fuzzy H-upsilon-submodule with thresholds is introduced, and some interesting properties are investigated. (C) 2006 Elsevier Inc. All rights reserved.
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