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      Int-Soft (Generalized) Bi-Ideals of Semigroups

      research-article
      Author(s): 1 , 2 , *
      Publication date (Electronic):
      Journal: The Scientific World Journal
      Publisher: Hindawi Publishing Corporation

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          Abstract

          The notions of int-soft semigroups and int-soft left (resp., right) ideals in semigroups are studied in the paper by Song et al. (2014). In this paper, further properties and characterizations of int-soft left (right) ideals are studied, and the notion of int-soft (generalized) bi-ideals is introduced. Relations between int-soft generalized bi-ideals and int-soft semigroups are discussed, and characterizations of (int-soft) generalized bi-ideals and int-soft bi-ideals are considered. Given a soft set (α;S) over U, int-soft (generalized) bi-ideals generated by (α;S) are established.

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          Soft set theory—First results

          D. Molodtsov (1999)
          Article 0 comments Cited 584 times – based on 0 reviews     Review now
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            Soft set theory

            P.K. Maji, R. Biswas, A.R. Roy (2003)
            Article 0 comments Cited 285 times – based on 0 reviews     Review now
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              An application of soft sets in a decision making problem

              P.K. Maji, A.R. Roy, R. Biswas (2002)
              Article 0 comments Cited 235 times – based on 0 reviews     Review now
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                Author and article information

                Journal
                Journal ID (nlm-ta): ScientificWorldJournal
                Journal ID (iso-abbrev): ScientificWorldJournal
                Journal ID (publisher-id): TSWJ
                Title: The Scientific World Journal
                Publisher: Hindawi Publishing Corporation
                ISSN (Print): 2356-6140
                ISSN (Electronic): 1537-744X
                Publication date (Print): 2015
                Publication date (Electronic): 29 January 2015
                Volume: 2015
                Electronic Location Identifier: 198672
                Affiliations
                1Department of Mathematics Education, Gyeongsang National University, Jinju 660-701, Republic of Korea
                2Department of Mathematics, Jeju National University, Jeju 690-756, Republic of Korea
                Author notes

                Academic Editor: Guilong Liu

                Article
                DOI: 10.1155/2015/198672
                PMC ID: 4325470
                SO-VID: 7c1f94be-2f34-4a53-a54c-9f5bbeb571e4
                Copyright © Copyright © 2015 Y. B. Jun and S.-Z. Song.
                License:

                This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

                History
                Date received : 14 August 2014
                Date accepted : 23 December 2014
                Categories
                Subject: Research Article

                ScienceOpen disciplines: Uncategorized
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