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A generalization of \((\in , \in \vee q)\)-fuzzy ternary subsemigroups

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Abstract

Using more general form of quasi-coincident fuzzy points, the notion of \(({\tilde{\alpha }},\) \({\tilde{\beta }})\)-fuzzy ternary subsemigroups is introduced. Several properties are discussed. Characterizations of \((\in ,\) \(\in \! \vee \, q^{\delta }_0)\)-fuzzy ternary subsemigroups are considered. Relations between\((\in ,\) \(\in )\)-fuzzy ternary subsemigroups and \((\in ,\) \(\in \! \vee \, q^{\delta }_0)\)-fuzzy ternary subsemigroups are provided.

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Authors and Affiliations

  1. Department of Mathematics and Statistics, Riphah International University, Hajj Complex I-14, Islamabad, 44000, Pakistan

    Noor Rehman

  2. Department of Mathematics Education, Gyeongsang National University, Jinju, 52828, Korea

    Jeong Gi Kang & Young Bae Jun

Authors
  1. Noor Rehman
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  2. Jeong Gi Kang
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  3. Young Bae Jun
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Correspondence to Noor Rehman.

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Rehman, N., Kang, J.G. & Jun, Y.B. A generalization of \((\in , \in \vee q)\)-fuzzy ternary subsemigroups. Afr. Mat. 29, 887–898 (2018). https://doi.org/10.1007/s13370-018-0586-0

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  • DOI: https://doi.org/10.1007/s13370-018-0586-0

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