Harmony Search Algorithm and Fuzzy Logic Theory: An Extensive Review from Theory to Applications

Mohammad Nasir, Ali Sadollah, Przemyslaw Grzegorzewski, Jin Hee Yoon and Zong Woo Geem
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Mohammad Nasir: Materials and Energy Research Center, Dezful Branch, Islamic Azad University, Dezful, Iran
Ali Sadollah: Department of Mechanical Engineering, University of Science and Culture, Tehran, Iran
Przemyslaw Grzegorzewski: Faculty of Mathematics and Information Science, Warsaw University of Technology, Koszykowa 75, 00-662 Warsaw, Poland
Jin Hee Yoon: School of Mathematics and Statistics, Sejong University, Seoul 05006, Korea
Zong Woo Geem: College of IT Convergence, Gachon University, Seongnam 13120, Korea

Mathematics, 2021, vol. 9, issue 21, 1-46

Abstract: In recent years, many researchers have utilized metaheuristic optimization algorithms along with fuzzy logic theory in their studies for various purposes. The harmony search (HS) algorithm is one of the metaheuristic optimization algorithms that is widely employed in different studies along with fuzzy logic (FL) theory. FL theory is a mathematical approach to expressing uncertainty by applying the conceptualization of fuzziness in a system. This review paper presents an extensive review of published papers based on the combination of HS and FL systems. In this regard, the functional characteristics of models obtained from integration of FL and HS have been reported in various articles, and the performance of each study is investigated. The basic concept of the FL approach and its derived models are introduced to familiarize readers with the principal mechanisms of FL models. Moreover, appropriate descriptions of the primary classifications acquired from the coexistence of FL and HS methods for specific purposes are reviewed. The results show that the high efficiency of HS to improve the exploration of FL in achieving the optimal solution on the one hand, and the capability of fuzzy inference systems to provide more flexible and dynamic adaptation of the HS parameters based on human perception on the other hand, can be a powerful combination for solving optimization problems. This review paper is believed to be a useful resource for students, engineers, and professionals.

Keywords: harmony search; fuzzy logic; optimization; metaheuristics (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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