Complex Multi-Fuzzy Relation for Decision Making using Uncertain Periodic Data

We introduce a new type of relations called complex multi-fuzzy relation (CMFR). The novelty of CMFR lies in the ability of complex multi- membership functions to achieve more range of values while handling uncertainty of data that is periodic in nature. The application of complex multi-fuzzy sets i...

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Bibliographic Details
Published inInternational journal of engineering & technology (Dubai) Vol. 7; no. 4; p. 2437
Main Authors Al-Qudah, Yousef, Hassan, Nasruddin
Format Journal Article
LanguageEnglish
Published 20.09.2018
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Summary:We introduce a new type of relations called complex multi-fuzzy relation (CMFR). The novelty of CMFR lies in the ability of complex multi- membership functions to achieve more range of values while handling uncertainty of data that is periodic in nature. The application of complex multi-fuzzy sets is then discussed in determining: the influence of modern methods of education on student performance, and the time required for the former to affect the latter. A comparison between different existing relations and CMFR to show the ascendancy of our proposed CMFR is provided. Thereafter, a few related concepts such as complement, union, intersection and inverse along with several propositions are discussed, followed by the composition of CMFR along with some related theorems. Finally, the notions of symmetric, transitive, reflexive, and equivalence complex multi-fuzzy relations are established in our work.
ISSN:2227-524X
2227-524X
DOI:10.14419/ijet.v7i4.16976