Relational Demonic Fuzzy Refinement

Fairouz Tchier

doi:10.1155/2014/140707

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Home > Journals > J. Appl. Math. > Volume 2014 > Article

2014 Relational Demonic Fuzzy Refinement

Fairouz Tchier

J. Appl. Math. 2014: 1-17 (2014). DOI: 10.1155/2014/140707

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Abstract

We use relational algebra to define a refinement fuzzy order called demonic fuzzy refinement and also the associated fuzzy operators which are fuzzy demonic join $({\bigsqcup }_{\mathrm{\text{f}}\mathrm{\text{u}}\mathrm{\text{z}}})$ , fuzzy demonic meet $({\sqcap }_{\mathrm{\text{f}}\mathrm{\text{u}}\mathrm{\text{z}}})$ , and fuzzy demonic composition $({\square }_{\mathrm{\text{f}}\mathrm{\text{u}}\mathrm{\text{z}}})$ . Our definitions and properties are illustrated by some examples using mathematica software (fuzzy logic).