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Berhanu Assaye Alaba
Department of Mathematics, College of Science, Bahir Dar University
Mathematics

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Birkhoff center of Almost Distributive Fuzzy Lattice Berhanu Assaye Alaba; Gerima Tefera Dejen
(IJCSAM) International Journal of Computing Science and Applied Mathematics Vol. 3 No. 2 (2017)
Publisher : LPPM Institut Teknologi Sepuluh Nopember

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Abstract

The concept of Birkhoff center B_A(R) of an Almost distributive fuzzy lattice (R,A) with maximal element is introduced. We also prove that BA(R) is relatively complemented ADFL and product of ADFL is a gain ADFL.
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 : LPPM Institut Teknologi Sepuluh Nopember

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

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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.
Skew Semi-Heyting Algebras Berhanu Assaye Alaba; Mihret Alamneh; Yeshiwas Mebrat Gubena
(IJCSAM) International Journal of Computing Science and Applied Mathematics Vol. 4 No. 1 (2018)
Publisher : LPPM Institut Teknologi Sepuluh Nopember

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Abstract

In this paper, we introduce the concept of skew semi-Heyting algebra and extend the notions of semi-Heyting algebras. We characterize a skew semi-Heyting algebra as a skew Heyting algebra interms of a unique binary operation on which an induced binary operation is defined, and some algebraic properties on it.
Implicative Almost Distributive Lattice Berhanu Assaye Alaba; Mihret Alamneh; Tilahun Mekonnen Munie
(IJCSAM) International Journal of Computing Science and Applied Mathematics Vol. 4 No. 1 (2018)
Publisher : LPPM Institut Teknologi Sepuluh Nopember

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Abstract

In this paper, we introduce the concept of Implicative Almost Distributive Lattices (IADLs) as a generalization of implicative algebra in the class of Almost Distributive Lattices. We discuss some properties of IADL and derive some equivalent conditions in IADLs. We also discuss some characterizations of IADL to become an implicative algebra
Heyting Almost Distributive fuzzy Lattices Berhanu Assaye Alaba; Derebew Nigussie Derso
(IJCSAM) International Journal of Computing Science and Applied Mathematics Vol. 4 No. 1 (2018)
Publisher : LPPM Institut Teknologi Sepuluh Nopember

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Abstract

In this paper, we introduce the concept of Heyting almost distributive fuzzy lattices (HADFL) using the concepts of Heyting almost distributive lattices (HADL), almost distributive fuzzy lattices, fuzzy partial order relation and fuzzy Heyting algebra. Using the properties of fuzzy Heyting algebra, we also give a necessary and sufficient condition for an HADFL to be fuzzy Heyting algebra (FHA).
Transitive and Absorbent Filters of Implicative Almost Distributive Lattices Berhanu Assaye Alaba; Mihret Alamneh; Tilahun Mekonnen
(IJCSAM) International Journal of Computing Science and Applied Mathematics Vol. 4 No. 2 (2018)
Publisher : LPPM Institut Teknologi Sepuluh Nopember

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Abstract

In this paper, we introduce the concept of transitive and absorbent filters of implicative almost distributive lattices and studied their properties. A necessary and sufficient condition is derived for every filter to become a transitive filter. Some sufficient conditions are also derived for a filter to become a transitive filter. A set of equivalent conditions is obtained for a filter to become an absorbent filter.
Co-Authors Bekalu Tarekegn Bitew Derebew Nigussie Derso Derebew Nigussie Derso Gerima Tefera Dejen Gerima Tefera Dejen Mihret Alamneh Tilahun Mekonnen Tilahun Mekonnen Munie Yeshiwas Mebrat Gubena Yeshiwas Mebrat Gubena Yohannes Gedamu Wondifraw