Interval valued L-fuzzy prime ideals, triangular norms and partially ordered groups

Babushri Srinivas Kedukodi; Syam Prasad Kuncham; B. Jagadeesha

doi:10.1007/s00500-017-2798-x

Interval valued L-fuzzy prime ideals, triangular norms and partially ordered groups

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

^*Corresponding author for this work

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

10 Citations (Scopus)

Abstract

We introduce interval valued equiprime, 3-prime and c-prime L-fuzzy ideals of a nearring N by using interval valued t-norms and interval valued t-conorms. We characterize interval valued prime L-fuzzy ideals in terms of their level subsets. We define interval valued equisemiprime, 3-semiprime and c-semiprime L-fuzzy ideals of nearrings and study their properties. We find interrelations among different interval valued prime L-fuzzy ideals. We study these concepts further in a partially ordered group and define implications based on interval valued L-fuzzy ideals.

Original language	English
Pages (from-to)	1-14
Number of pages	14
Journal	Soft Computing
Volume	23
Issue number	3
DOIs	https://doi.org/10.1007/s00500-017-2798-x
Publication status	Published - 30-08-2019

All Science Journal Classification (ASJC) codes

Software
Theoretical Computer Science
Geometry and Topology

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title = "Interval valued L-fuzzy prime ideals, triangular norms and partially ordered groups",

abstract = "We introduce interval valued equiprime, 3-prime and c-prime L-fuzzy ideals of a nearring N by using interval valued t-norms and interval valued t-conorms. We characterize interval valued prime L-fuzzy ideals in terms of their level subsets. We define interval valued equisemiprime, 3-semiprime and c-semiprime L-fuzzy ideals of nearrings and study their properties. We find interrelations among different interval valued prime L-fuzzy ideals. We study these concepts further in a partially ordered group and define implications based on interval valued L-fuzzy ideals.",

author = "Kedukodi, \{Babushri Srinivas\} and Kuncham, \{Syam Prasad\} and B. Jagadeesha",

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AU - Kedukodi, Babushri Srinivas

AU - Kuncham, Syam Prasad

AU - Jagadeesha, B.

PY - 2019/8/30

Y1 - 2019/8/30

N2 - We introduce interval valued equiprime, 3-prime and c-prime L-fuzzy ideals of a nearring N by using interval valued t-norms and interval valued t-conorms. We characterize interval valued prime L-fuzzy ideals in terms of their level subsets. We define interval valued equisemiprime, 3-semiprime and c-semiprime L-fuzzy ideals of nearrings and study their properties. We find interrelations among different interval valued prime L-fuzzy ideals. We study these concepts further in a partially ordered group and define implications based on interval valued L-fuzzy ideals.

AB - We introduce interval valued equiprime, 3-prime and c-prime L-fuzzy ideals of a nearring N by using interval valued t-norms and interval valued t-conorms. We characterize interval valued prime L-fuzzy ideals in terms of their level subsets. We define interval valued equisemiprime, 3-semiprime and c-semiprime L-fuzzy ideals of nearrings and study their properties. We find interrelations among different interval valued prime L-fuzzy ideals. We study these concepts further in a partially ordered group and define implications based on interval valued L-fuzzy ideals.

UR - https://www.scopus.com/pages/publications/85028625027

UR - https://www.scopus.com/pages/publications/85028625027#tab=citedBy

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DO - 10.1007/s00500-017-2798-x

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SP - 1

EP - 14

JO - Soft Computing

JF - Soft Computing

IS - 3

ER -

Interval valued L-fuzzy prime ideals, triangular norms and partially ordered groups

Abstract

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