| Title of paper:
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Intuitionistic L-fuzzy congruence on a ring
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| Author(s):
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| K. Meena
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| P. G. Research Centre in Mathematics, Bharata Mata College, Kochi–682 021, Kerala, India
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| meena_k11@yahoo.co.in
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| K. V. Thomas
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| P. G. Research Centre in Mathematics, Bharata Mata College, Kochi–682 021, Kerala, India
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| Published in:
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"Notes on Intuitionistic Fuzzy Sets", Volume 19, 2013, Number 1, pages 7—20
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| Download:
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 PDF (169 Kb, File info)
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| Abstract:
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In this paper we discuss and study some properties of intuitionistic L-fuzzy equivalence relation on a ring. We introduce the concept of intuitionistic L-fuzzy transitive closure of an intuitionistic L-fuzzy relation on a ring. Further the definition of intuitionistic L-fuzzy congruence relation on a ring is introduced and proved that the set of intuitionistic L-fuzzy congruences forms a modular lattice.
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| Keywords:
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Lattice, Intuitionistic L-fuzzy set, Intuitionistic L-fuzzy relation, Intuitionistic L-fuzzy equivalence relation, Intuitionistic L-fuzzy congruence relation.
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| AMS Classification:
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06B10.
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| References:
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| Citations:
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- VEERAMMAL, P., and G. VELAMMAL. "INTUITIONISTIC L-FUZZY ALMOST IDEALS." International Journal of Mathematical Archive EISSN 2229-5046 9.1 (2018), pp. 197-203.
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