2014
DOI: 10.1155/2014/140707
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Relational Demonic Fuzzy Refinement

Abstract: We use relational algebra to define a refinement fuzzy order calleddemonic fuzzy refinementand also the associated fuzzy operators which are fuzzy demonic join(⊔fuz), fuzzy demonic meet(⊓fuz), and fuzzy demonic composition(□fuz). Our definitions and properties are illustrated by some examples using mathematica software (fuzzy logic).

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Cited by 2 publications
(2 citation statements)
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“…Our future work will involve applying our approach to other complex real-world diagnosis problems. We will also try alternative fuzzy logic approaches such as Neuro-Fuzzy networks or Fuzzy Petri with demonic relational methods [19,20]. Since neural networks has shown capabilities in rule and feature extracting, we can combine adaptive fuzzy inference systems and principle component analysis neural networks, to introduce a new computerized diagnostic tool and give similar accurate diagnostic results.…”
Section: Resultsmentioning
confidence: 99%
See 1 more Smart Citation
“…Our future work will involve applying our approach to other complex real-world diagnosis problems. We will also try alternative fuzzy logic approaches such as Neuro-Fuzzy networks or Fuzzy Petri with demonic relational methods [19,20]. Since neural networks has shown capabilities in rule and feature extracting, we can combine adaptive fuzzy inference systems and principle component analysis neural networks, to introduce a new computerized diagnostic tool and give similar accurate diagnostic results.…”
Section: Resultsmentioning
confidence: 99%
“…Fuzzy logic was invented by Zadeh [25] in 1965 for handling uncertain and imprecise knowledge in real world applications. It has proved to be a powerful tool for decision-making, and to handle and manipulate imprecise and noisy data [19][20][21][22][23][24][25]. A fuzzy system is characterized by a set of linguistic statements based on expert knowledge.…”
Section: Introductionmentioning
confidence: 99%