Journal
KNOWLEDGE-BASED SYSTEMS
Volume 39, Issue -, Pages 144-150Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.knosys.2012.10.014
Keywords
Modularity; Symmetric capacity; Ordered multiplicative modular geometric; Aggregation function; Operator
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Funding
- National Natural Science Foundation of China [71071161, 61273209]
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The aim of this paper is to investigate an ordered multiplicative modular geometric operator and its relevant properties. The ordered multiplicative modular geometric operator is a generalized form of the ordered weighted geometric operator which has been designed incorporating the advantages of the geometric mean to deal with ratio judgments and the advantages of the ordered weighted averaging (OWA) operator to represent the concept of fuzzy majority in the process of information aggregation. Besides, the ordered multiplicative modular geometric operator can be seen as a symmetrized multiplicative modular aggregation function, characterized by comonotone multiplicative modularity. It is worth pointing that lots of the existing operators (such as the ordered weighted geometric operator, the weighted geometric operator, the ordered weighted maximum, and the Max and Min operators) can be regarded as the special cases of the ordered multiplicative modular geometric operator, which is of value in developing the theory of geometric operators. (c) 2012 Elsevier B.V. All rights reserved.
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