On some characteristics and related properties for OWF and RIM quantifier. Issue 6 (14th March 2018)

• Record Type: Journal Article
• Authors: Wang, Jian; Kalina, Martin; Mesiar, Radko; Jin, Le Sheng
• Is Part Of: International journal of intelligent systems. Volume 33:Issue 6(2018)
• Page Start: 1283
• Page End: 1300
• Publication Date: 2018-03-14
• Subjects: decision‐making -- entropy -- moments -- ordered weighted averaging (OWA) operators -- ordered weighted function (OWF) -- orness/andness -- regular increasing monotone (RIM) quantifier; Artificial intelligence -- Periodicals; Expert systems (Computer science) -- Periodicals; Intelligence artificielle -- Périodiques; Systèmes experts (Informatique) -- Périodiques; 006.3
• DOI: 10.1002/int.21982
• Languages: English
• ISSNs: 0884-8173

Abstract

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.