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author:

Yu, Gao-Feng (Yu, Gao-Feng.) [1] | Li, Deng-Feng (Li, Deng-Feng.) [2] | Qiu, Jin-Ming (Qiu, Jin-Ming.) [3] | Ye, Yin-Fang (Ye, Yin-Fang.) [4]

Indexed by:

EI

Abstract:

The aim of this paper is to propose a satisfactory degree method by using nonlinear programming for solving multi-attribute decision making (MADM) problems in which ratings of alternatives on attributes is expressed via interval-valued intuitionistic fuzzy (IVIF) sets and preference information on attributes is incomplete. Concretely, a nonlinear programming model is firstly explored to determine the satisfactory degree which is the ratio of the square of the weight Euclidean distance between an alternative and the IVIF negative ideal solution (IVIFNIS) to the sum of the square of the weight Euclidean distance between the IVIF negative ideal solution (IVIFNIS) and the IVIF positive ideal solution (IVIFPIS). Another nonlinear programming model is also developed to obtain satisfactory intuitionistic fuzzy sets, and then the general satisfactory degrees of the satisfactory intuitionistic fuzzy sets are used to generate the ranking order of the alternatives. Finally, a real example is employed to verify the applicability of the proposed approach and illustrate its practicality and effectiveness. © 2017 - IOS Press and the authors.

Keyword:

Decision making Fuzzy sets Mathematical programming Nonlinear programming

Community:

  • [ 1 ] [Yu, Gao-Feng]Fujian Key Lab of Agriculture IOT Application and School of Information Engineering, Sanming University, Sanming, Fujian, China
  • [ 2 ] [Li, Deng-Feng]School of Economics and Management, Fuzhou University, No. 2, Xueyuan Road, Daxue New District, Fuzhou District, Fuzhou, Fujian; 350108, China
  • [ 3 ] [Qiu, Jin-Ming]Fujian Key Lab of Agriculture IOT Application and School of Information Engineering, Sanming University, Sanming, Fujian, China
  • [ 4 ] [Ye, Yin-Fang]School of Economics and Management, Fuzhou University, No. 2, Xueyuan Road, Daxue New District, Fuzhou District, Fuzhou, Fujian; 350108, China

Reprint 's Address:

  • [li, deng-feng]school of economics and management, fuzhou university, no. 2, xueyuan road, daxue new district, fuzhou district, fuzhou, fujian; 350108, china

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Source :

Journal of Intelligent and Fuzzy Systems

ISSN: 1064-1246

Year: 2017

Issue: 1

Volume: 32

Page: 1019-1028

1 . 4 2 6

JCR@2017

1 . 7 0 0

JCR@2023

ESI HC Threshold:187

JCR Journal Grade:3

CAS Journal Grade:4

Cited Count:

WoS CC Cited Count:

SCOPUS Cited Count: 28

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 4

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