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Journals / TWMS Journal of Applied and Engineering Mathematics / 2018 / Volume: 8 Issue: 2

HESITANT FUZZY IDEAL EXTENSION IN PO-SEMIGROUPS

M. Y. Abbasi(Department of Mathematics, Jamia Millia Islamia, New Delhi-110025, India.)
A. F. Talee(Department of Mathematics, Jamia Millia Islamia, New Delhi-110025, India.)
X. Y. Xie(School of Mathematics and Computational Science; Wuyi University Jiangmen, China.)
S. A. Khan(Department of Mathematics, Jamia Millia Islamia, New Delhi-110025, India.)
Pages
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Publication Date
2018-12-01
DOI
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

We discuss the relationship between between prime semi prime ideals and 3-prime ideals in po-semigroup by means of the extensions hesitant fuzzy ideals.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, the notions of extension of hesitant fuzzy ideals, hesitant fuzzy prime ideals, hesitant fuzzy semiprime ideals and hesitant 3-prime fuzzy ideals in po-semigroups are introduced with some of their properties are investigated.
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Key Findings & Data:In this paper, the notions of extension of hesitant fuzzy ideals, hesitant fuzzy prime ideals, hesitant fuzzy semiprime ideals and hesitant 3-prime fuzzy ideals in po-semigroups are introduced with some of their properties are investigated.
💡
Conclusion & Impact:We discuss the relationship between between prime semi prime ideals and 3-prime ideals in po-semigroup by means of the extensions hesitant fuzzy ideals.
🔬Design:Article
📍Scope:Comprehensive Sample
⚙️Variables:Hesitant fuzzy ideal · hesitant fuzzy ideal extension · hesitant fuzzy prime

Abstract

In this paper, the notions of extension of hesitant fuzzy ideals, hesitant fuzzy prime ideals, hesitant fuzzy semiprime ideals and hesitant 3-prime fuzzy ideals in po-semigroups are introduced with some of their properties are investigated. We discuss the relationship between between prime semi prime ideals and 3-prime ideals in po-semigroup by means of the extensions hesitant fuzzy ideals.

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Cite This Article

Abbasi, M. Y., Talee, A. F., Xie, X. Y., Khan, S. A. (2018). HESITANT FUZZY IDEAL EXTENSION IN PO-SEMIGROUPS. TWMS Journal of Applied and Engineering Mathematics, Volume: 8 Issue: 2. https://ajindex.com/articles/1604497

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References (33)

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  21. Jun, Y. B., Lee, K. J. and Song, S. Z., (2015), Hesitant fuzzy bi-ideals in semigroups, Commun. Korean Math. Soc., 30, 143-154.
  22. Kehayopulu, N. and Tsingelis, M., (2004), Fuzzy bi-ideals in ordered semigroups, Inform. Sci., 171, 13-28.
  23. Kuroki, N., (1979), Fuzzy bi-ideals in semigroups, Comment. Math. Univ. St. Pauli, XXVIII-1, 17-21.
  24. Kuroki, N., (1991), On fuzzy semigroups, Inform. Sci., 53, 203-236.
  25. Mahmood, T., Khan, Q., and Jun Y, (2016), Vector Similarity Measures for Simplified Neutrosophic Hesitant Fuzzy Set and Their Applications, J. of Inequalities and Special Functions 7, 176-194
  26. Mahmood, T., Mehmood, F. and Khan, Q., (2016), Cubic Hesitant Fuzzy Sets and Their Applications to Multi Criteria Decision Making, International Journal of Algebra and Statistics, 5, 19-51.
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  29. Torra, V., (2010), Hesitant fuzzy sets, Int. J. Intell. Syst., 25, 529-539.
  30. Xie, X. Y., (2001), Fuzzy ideals extensions of semigroups, Soochow journal of Mathematics, 27, 125-138.
  31. Xie, X. Y. and Yan, F., (2005), Fuzzy ideals extensions of ordered semigroups, Lobachevskii journal of Mathematics, 19, 29-40.
  32. Xie, X. Y. and Wu, M. F., (1996), On the ideal extensions in ordered semigroups, Semigroup Forum, 53, 63-71.
  33. Zadeh, L. A., (1965), Fuzzy sets, Information and Control, 8, 338-353.