On some characteristics and related properties for OWF and RIM quantifier |
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| Authors: | Jian Wang Martin Kalina Radko Mesiar Le Sheng Jin |
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| Affiliation: | 1. Business School, Nanjing Normal University, Nanjing, People's Republic of China;2. Faculty of Civil Engineering, Slovak University of Technology, Bratislava, Slovakia;3. Department of Algebra and Geometry, Faculty of Science, Palacky University Olomouc, Olomouc, Czech Republic |
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| Abstract: | Regular Increasing Monotone (RIM) quantifier and Ordered Weighted Function are important counterparts of discrete ordered weighted averaging operators. Some important characteristics such as entropy, Moment, and Step/Hurwicz degree have already been proposed and studied by several researchers. The main propose of this paper is to put the concepts of entropy, Moment, and Step/Hurwicz degree for RIM quantifier into a continuous environment. Some well‐defined representative families of RIM quantifiers are also presented. The metric spaces of RIM quantifiers are discussed. |
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| Keywords: | decision‐making entropy moments ordered weighted averaging (OWA) operators ordered weighted function (OWF) orness/andness regular increasing monotone (RIM) quantifier |
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