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Intuitionistic Fuzzy Group With Extended Operations

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Homological and Combinatorial Methods in Algebra (SAA 2016)

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 228))

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Abstract

In this paper we give an extension in the intuitionistic fuzzy frame of a low of a crisp group \((G,*)\) by means of the extended form of the Zadeh’s extension principle, And we build the conditions whose permit us to give an intuitionistic fuzzy group structure. Furthermore, we investigates some other properties for the intuitionistic fuzzy subgroups and homomorphisms for our set.

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Author information

Authors and Affiliations

  1. LMACS, Laboratoire de Mathématiques Appliquées & Calcul Scientifique, Sultan Moulay Slimane University, PO Box 523, 23000, Beni Mellal, Morocco

    S. Melliani, I. Bakhadach & L. S. Chadli

Authors
  1. S. Melliani
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  2. I. Bakhadach
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  3. L. S. Chadli
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Corresponding authors

Correspondence to S. Melliani or L. S. Chadli .

Editor information

Editors and Affiliations

  1. Department of Mathematics, American University of Sharjah, Sharjah, United Arab Emirates

    Ayman Badawi

  2. Faculty of Mathematical Science, Isfahan University of Technology, Isfahan, Iran

    Mohammad Reza Vedadi

  3. School of Mathematics, Statistics, and Computer Science, University of Tehran, Tehran, Iran

    Siamak Yassemi

  4. Department of Mathematics and Applications, University of Mohaghegh Ardabili, Ardabil, Iran

    Ahmad Yousefian Darani

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Melliani, S., Bakhadach, I., Chadli, L.S. (2018). Intuitionistic Fuzzy Group With Extended Operations. In: Badawi, A., Vedadi, M., Yassemi, S., Yousefian Darani, A. (eds) Homological and Combinatorial Methods in Algebra. SAA 2016. Springer Proceedings in Mathematics & Statistics, vol 228. Springer, Cham. https://doi.org/10.1007/978-3-319-74195-6_5

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