Heyting Almost Distributive fuzzy Lattices

Berhanu Assaye Alaba, Derebew Nigussie Derso

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).

Keywords


Heyting Almost distributive fuzzy Lattices; Almost distributive fuzzy lattices; Fuzzy Heyting algebra; fuzzy partial order relations

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References


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DOI: http://dx.doi.org/10.12962/j24775401.v4i1.3000

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International Journal of Computing Science and Applied Mathematics by Department Mathematics ITS is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.
Based on a work at http://iptek.its.ac.id/index.php/ijcsam.