$\delta$-fuzzy Ideals in MS-algebras


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Authors

  • Berhanu Assaye Alaba Department of Mathematics, Bahir Dar university, Bahir Dar, Ethiopia
  • Mihret Alamneh Taye Department of Mathematics, Bahir Dar university, Bahir Dar, Ethiopia
  • Teferi Getachew Alemayehu Department of Mathematics, Debre Berhan University, Debre Berhan, Ethiopia

Keywords:

MS-algebra, de Morgan algebra, $ \delta $-fuzzy ideals, $ \alpha $-level principal $ \delta $-fuzzy ideals, fuzzy filters, homommorphisms

Abstract

In this paper, we introduce the concept of $ \delta $-fuzzy ideals and $ \alpha $-level principal $\delta $-fuzzy ideals in an MS-algebra and study basic properties of these ideals with respect to homomorphisms. It is observed that the class of all $ \delta $-fuzzy ideals forms a complete distributive lattice and the class of all $ \alpha $-level principal $ \delta $-fuzzy ideals forms a de Morgan algebra. A characterization of $ \delta $-fuzzy ideals in terms of $ \alpha $-level principal $ \delta $-fuzzy ideals is given.

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Published

15-06-2018

How to Cite

Berhanu Assaye Alaba, Mihret Alamneh Taye, & Teferi Getachew Alemayehu. (2018). $\delta$-fuzzy Ideals in MS-algebras. International Journal of Mathematics And Its Applications, 6(2 - B), 273–280. Retrieved from http://ijmaa.in/index.php/ijmaa/article/view/725

Issue

Vol. 6 No. 2 - B (2018)

Section

Research Article

License

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.