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A Method for Dealing with Multi-granularity and Multi-scale Linguistic Information based on Modified Proportional 2-tuples

초록

영어

Multi-granularity linguistic information has been studied by researchers in many disciplines, in which the scale of linguistic term sets is usually restricted in domain [0, 1]. In this paper, we consider the multiple attribute group decision making (MAGDM) problems, in which the evaluation of each alternative with respect to each attribute is provided by several experts of the corresponding field. In order to convey the preferences of different experts exactly and to describe the characteristics of different attributes, linguistic term sets with different granularities and different scales have been proposed to express their evaluation values. Moreover, the performance values given by the experts take the form of modified proportional 2-tuples. In this process, the modified proportional 2-tuple, its comparative rules as well as several aggregation operators have been proposed. A new method has been proposed to achieve a basic modified linguistic term set (BMLTS) and a transformation function has been defined to make the performance values uniform. An example is given to illustrate the applicability and flexibility of the method.

목차

Abstract
 1. Introduction
 2. Preliminaries
  2.1. Notions of 2-tuple Linguistic Representation Model
  2.2. Proportional 2-tuple Linguistic Representation Model
 3. Modified Proportional 2-tuple Fuzzy Linguistic Representation Model
  3.1. Notions for Modified Proportional 2-tuple
  3.2. The Comparative Rules and Aggregation Operators of Modified Proportional 2-tuples
 4. Fusion Approach for Managing Multi-granularity and Multi-scale Linguistic Information based on Modified Proportional 2-tuple
  4.1. Setting up basic Modified Linguistic Term Set (BMLTS)
  4.2. Getting Linguistic Terms of BMLTS
  4.3. Transforming Performance Values into Linguistic Information of BMLTS
 5 . Illustrative Examples
 6. Conclusions
 Acknowledgements
 References

저자정보

  • AiPing Zhang Hefei University of Technology, Hefei, Anhui, 230009, China
  • Zhang Lin Peng Hefei University of Technology, Hefei, Anhui, 230009, China
  • Xian Wen Gu Hefei University of Technology, Hefei, Anhui, 230009, China

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