Interval valued L-fuzzy cosets of nearrings and isomorphism theorems

Syam Prasad Kuncham; B. Jagadeesha; Babushri Srinivas Kedukodi

doi:10.1007/s13370-015-0348-1

Interval valued L-fuzzy cosets of nearrings and isomorphism theorems

Syam Prasad Kuncham
, B. Jagadeesha
, Babushri Srinivas Kedukodi^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

14 Citations (Scopus)

Abstract

In this paper, we study homomorphic images of interval valued L-fuzzy ideals of a nearring. If f: N₁→ N₂ is an onto nearring homomorphism and μ^ is an interval valued L-fuzzy ideal of N₂ then we prove that f^{- 1}(μ^) is an interval valued L-fuzzy ideal of N₁. If μ^ is an interval valued L-fuzzy ideal of N₁ then we show that f(μ^) is an interval valued L-fuzzy ideal of N₂ whenever μ^ is invariant under f and interval valued t-norm is idempotent. Finally, we define interval valued L-fuzzy cosets and prove isomorphism theorems.

Original language	English
Pages (from-to)	393-408
Number of pages	16
Journal	Afrika Matematika
Volume	27
Issue number	3-4
DOIs	https://doi.org/10.1007/s13370-015-0348-1
Publication status	Published - 01-06-2016

All Science Journal Classification (ASJC) codes

General Mathematics

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10.1007/s13370-015-0348-1

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AU - Jagadeesha, B.

AU - Kedukodi, Babushri Srinivas

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N2 - In this paper, we study homomorphic images of interval valued L-fuzzy ideals of a nearring. If f: N1→ N2 is an onto nearring homomorphism and μ^ is an interval valued L-fuzzy ideal of N2 then we prove that f- 1(μ^) is an interval valued L-fuzzy ideal of N1. If μ^ is an interval valued L-fuzzy ideal of N1 then we show that f(μ^) is an interval valued L-fuzzy ideal of N2 whenever μ^ is invariant under f and interval valued t-norm is idempotent. Finally, we define interval valued L-fuzzy cosets and prove isomorphism theorems.

AB - In this paper, we study homomorphic images of interval valued L-fuzzy ideals of a nearring. If f: N1→ N2 is an onto nearring homomorphism and μ^ is an interval valued L-fuzzy ideal of N2 then we prove that f- 1(μ^) is an interval valued L-fuzzy ideal of N1. If μ^ is an interval valued L-fuzzy ideal of N1 then we show that f(μ^) is an interval valued L-fuzzy ideal of N2 whenever μ^ is invariant under f and interval valued t-norm is idempotent. Finally, we define interval valued L-fuzzy cosets and prove isomorphism theorems.

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Interval valued L-fuzzy cosets of nearrings and isomorphism theorems

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