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Fuzzy annihilator ideals in distributive lattices

Berhanu Assaye Alaba|Wondwosen Zemene Norahun
기초자연과학연구소 (The Natural Science Institute Wonkwang University)|2018.10|ANNALS OF FUZZY MATHEMATICS AND INFORMATICS|제16권 제2호|pp. 191-200|DOI 10.30948/afmi.2018.16.2.191

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키워드

Fuzzy idealsAnnihilatorFuzzy annihilatorFuzzy annihilator preserving homomorphism

초록

In this paper, we introduce the notion of relative fuzzy annihilator ideals in a distributive lattice. It is proved that the set of all fuzzy annihilator ideals of a distributive lattice $L$ forms a complete Boolean algebra. The concept of fuzzy annihilator preserving homomorphism on distributive lattice is also presented in this paper.

Abstract

In this paper, we introduce the notion of relative fuzzy annihilator ideals in a distributive lattice. It is proved that the set of all fuzzy annihilator ideals of a distributive lattice $L$ forms a complete Boolean algebra. The concept of fuzzy annihilator preserving homomorphism on distributive lattice is also presented in this paper.

참고문헌 (12)

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  7. J. N. Mordeson, "Fuzzy Group Theory" (2005), Springer-Verlag
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  9. H. K. Saikia, "On annihilator of fuzzy subsets of modules", International Journal of Algebra, 3(10), pp.483~488 (2009)
  10. U. M. Swamy, "Fuzzy ideals and congruences of lattices", Fuzzy Sets and Systems, 95, pp.249~253 (1998)[DOI]
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  12. L. A. Zadeh, "Fuzzy Sets", Information and Control, 8, pp.338~353 (1965)[DOI]

관련 논문AI추천

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