Directions in fuzzy relation equations: conclusions from the current state of the art

Abstract In our paper, we analyze those aspects of the research area thathave been most popular and we examine the relationships between the various sub-disciplines in thefield. We identify publications and authors that have influenced the development of the discipline, aswell as research institutes and groups that specialize in given research topics. Our work aims notonly to analyze current developments, but also to outline opportunities for collaboration betweenResearchers, to identify major scientific breakthroughs, identify the centers developing fuzzyrelational equations, and identify authors with significant achievements in the discipline. The maingoal of this analysis is to establish opportunities for developing a model and a computer applicationbased on existing scientific work.Our analysis shows that the main centres developing fuzzy set relation equations are located inthe Islamic Azad University in Iran, the University of Ostrava in the Czech Republic and Hanshan Normal University in China.Furthermore, the leading mentors of our time arePedrycz, Khorram, Stepnicka, and Jafari.In addition, important articles have been published byDrewniak, Higashi, Klir, Molai, Pervilieva, Sessa, Shieh.

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