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Yohannes Gedamu Wondifraw
Department of Mathematics, College of Science, Bahir Dar University
Computer Science & IT Education Mathematics

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Fuzzy Amicable sets of an Almost Distributive Fuzzy Lattice Berhanu Assaye Alaba; Bekalu Tarekegn Bitew; Yohannes Gedamu Wondifraw
(IJCSAM) International Journal of Computing Science and Applied Mathematics Vol 3, No 2 (2017)
Publisher : Institut Teknologi Sepuluh Nopember

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (145.839 KB) | DOI: 10.12962/j24775401.v3i2.2885

Abstract

In this paper, we introduce the concept of Fuzzy Amicable sets, we prove some properties of Fuzzy Amicable set, too. We also prove that two Fuzzy compatible elements of an Almost distributive Fuzzy Lattice (ADFL) are equal if and only if their corresponding unique Fuzzy amicable elements are equal. We define the homomorphism of two Almost Distributive Fuzzy lattices (ADFL) and finally we observe that any two Fuzzy amicable set in an Almost Distributive Fuzzy Lattice (ADFL) are isomorphic.
Generalized Almost Distributive Fuzzy Lattices Berhanu Assaye Alaba; Yohannes Gedamu Wondifraw
(IJCSAM) International Journal of Computing Science and Applied Mathematics Vol 3, No 2 (2017)
Publisher : Institut Teknologi Sepuluh Nopember

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (121.301 KB) | DOI: 10.12962/j24775401.v3i2.2884

Abstract

In this paper we introduce the concept of a Generalized almost distributive fuzzy lattices (GADFLs) as a generalization of an Almost distributive fuzzy lattices(ADFLs). Again, we also show that a necessary and sufficient conditions for a GADFLs to become a distributive fuzzy lattices and a GADFLs to become an ADFLs.
Co-Authors Bekalu Tarekegn Bitew Berhanu Assaye Alaba