Correspondence between Fuzzy Multisets and Sequences

Paul Augustine Ejegwa

Authors

Paul Augustine Ejegwa

Abstract

Although fuzzy multisets or fuzzy bags are very interesting in terms of applications, it is less study or explore by researchers. Fuzzy multiset is applicable as a model of information retrieval because it has the mathematical structure or framework which expresses the number and the degree of attribution of an element simultaneously. We present a concise note on fuzzy multisets as the fuzzification or extension of multisets and the generalization of fuzzy sets. We showed the correspondence between fuzzy multisets and sequences. The Bolzano-Weierstrass property of fuzzy multisets is proposed and some theorems stated and proved.

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Correspondence between Fuzzy Multisets and Sequences. (2014). Global Journal of Science Frontier Research, 14(46), 61-66. https://journalofscience.org/index.php/GJSFR/article/view/

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Author Biography

Paul Augustine Ejegwa

Paul Augustine Ejegwa is a distinguished academic and researcher in the field of mathematics, with a particular focus on fuzzy set theory and its applications. He is affiliated with the University of Agriculture in Makurdi, Nigeria, where he serves as a lecturer in the Department of Mathematics/Statistics/Computer Science. Dr. Ejegwa holds a Ph.D. in Mathematics from Ahmadu Bello University (2018), an M.Sc. in Mathematics from the same institution (2013), a PGD in Education from Usmanu Danfodiyo University (2010), and a B.Sc. (Hons) in Mathematics and Computer Science from Benue State University (2008). His research interests include intuitionistic fuzzy sets, fuzzy multisets, and their applications in decision-making, career determination, and medical diagnosis. With over 100 publications and nearly 1,800 citations, Dr. Ejegwa has made significant contributions to the advancement of fuzzy mathematics. His work has been recognized with an h-index of 22 and an i10-index of 46, reflecting his impact in the field. He is also a fellow of various academic organizations and continues to mentor students and collaborate with researchers worldwide.

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