Soft Ternary Semirings

In this paper, we introduce the notion of soft ternary semiring by using the concept of soft set theory. Besides, we characterize the notions of regularity and intra-regularity in soft ternary semiring by using different soft (left, lateral, right, quasi, bi) ideals of soft ternary semirings.

Bibliographic Details
Main Authors: S. Kar, A. Shikari
Format: Article
Language:English
Published: Tsinghua University Press 2016-03-01
Series:Fuzzy Information and Engineering
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S1616865816300012
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author S. Kar
A. Shikari
author_facet S. Kar
A. Shikari
author_sort S. Kar
collection DOAJ
description In this paper, we introduce the notion of soft ternary semiring by using the concept of soft set theory. Besides, we characterize the notions of regularity and intra-regularity in soft ternary semiring by using different soft (left, lateral, right, quasi, bi) ideals of soft ternary semirings.
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spelling doaj.art-136569a969354bb88b20877d73daa3bc2023-09-02T08:11:28ZengTsinghua University PressFuzzy Information and Engineering1616-86582016-03-018111510.1016/j.fiae.2016.03.001Soft Ternary SemiringsS. KarA. ShikariIn this paper, we introduce the notion of soft ternary semiring by using the concept of soft set theory. Besides, we characterize the notions of regularity and intra-regularity in soft ternary semiring by using different soft (left, lateral, right, quasi, bi) ideals of soft ternary semirings.http://www.sciencedirect.com/science/article/pii/S1616865816300012Ternary semiringSoft ternary semiringSoft idealRegular soft ternary semiringIntra-regular soft ternary semiring
spellingShingle S. Kar
A. Shikari
Soft Ternary Semirings
Fuzzy Information and Engineering
Ternary semiring
Soft ternary semiring
Soft ideal
Regular soft ternary semiring
Intra-regular soft ternary semiring
title Soft Ternary Semirings
title_full Soft Ternary Semirings
title_fullStr Soft Ternary Semirings
title_full_unstemmed Soft Ternary Semirings
title_short Soft Ternary Semirings
title_sort soft ternary semirings
topic Ternary semiring
Soft ternary semiring
Soft ideal
Regular soft ternary semiring
Intra-regular soft ternary semiring
url http://www.sciencedirect.com/science/article/pii/S1616865816300012
work_keys_str_mv AT skar softternarysemirings
AT ashikari softternarysemirings