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Generalized Bi-ideal of Ordered Semigroup Related to Intuitionistic Fuzzy Point

Author

Listed:
  • Hidayat Ullah Khan

    (Department of Mathematics, University of Malakand, Khyber Pukhtoonkhwa, Chakdara, Pakistan)

  • Asghar Khan

    (Department of Mathematics, Abdul Wali Khan University Mardan, Khyber Pukhtoonkhwa, Mardan, Pakistan,)

  • Faiz Muhammad Khan

    (Department of Mathematics and Statistics, University of Swat, Khyber Pukhtoonkhwa, Swat, Pakistan)

  • Yongjin Li

    (Department of Mathematics, Sun Yat-sen University, Guangzhou, 510275, P. R. China)

Abstract

Intuitionistic fuzzy generalized bi-ideals play an important role in the study of ordered semigroups. In this paper, we try obtain more general form of intuitionistic fuzzy generalized bi-ideal of an ordered semigroup. The concept of (∈, ∈ ∨qk)-intuitionistic fuzzy generalized bi-ideal is introduced and several related properties are investigated. We show that in regular and left weakly regular ordered semigroups the concepts of (∈, ∈ ∨qk)-intuitionistic fuzzy generalized biideal and (∈, ∈ ∨qk)-intuitionistic fuzzy bi-ideal coincide.

Suggested Citation

  • Hidayat Ullah Khan & Asghar Khan & Faiz Muhammad Khan & Yongjin Li, 2017. "Generalized Bi-ideal of Ordered Semigroup Related to Intuitionistic Fuzzy Point," Matrix Science Mathematic (MSMK), Zibeline International Publishing, vol. 1(1), pages 9-15, January.
  • Handle: RePEc:zib:zbmsmk:v:1:y:2017:i:1:p:9-15
    DOI: 10.26480/msmk.01.2017.09.15
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    References listed on IDEAS

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    1. Kyung Ho Kim & Young Bae Jun, 2001. "Intuitionistic fuzzy interior ideals of semigroups," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 27, pages 1-7, January.
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