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Issue:Intuitionistic fuzzy G-modules

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Title of paper: Intuitionistic fuzzy G-modules
Author(s):
P. K. Sharma
Post Graduate Department of Mathematics, D. A. V. College, Jalandhar, Punjab, India
pksharma@davjalandhar.com
Tarandeep Kaur
Post Graduate Department of Mathematics, D. A. V. College, Jalandhar, Punjab, India
tarandeepkaur41@yahoo.com


Published in: "Notes on Intuitionistic Fuzzy Sets", Volume 21, 2015, Number 1, pages 6—23
Download:  PDF (208  Kb, File info)
Abstract: In this paper, the notion of intuitionistic fuzzy G-modules on a G-module M over a field K is introduced. The quotient intuitionistic fuzzy G-modules are defined and discussed. A homomorphism of G-module M onto M* is established. Also we introduced (weak) intuitionistic fuzzy G-homomorphism (isomorphism). Intersection, Sum, Product and Cartesian product of two intuitionistic fuzzy G-modules are also discussed.
Keywords: Intuitionistic fuzzy set, Intuitionistic fuzzy G-module, (α, β)–cut set, Support, Quotient intuitionistic fuzzy G-module.
AMS Classification: 03F55, 08A72, 16D10
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