A maximin approach for the bi-criteria 0-1 random fuzzy programming problem based on the necessity measure

Takashi Hasuike, Hideki Katagiri, Hiroaki Ishii

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

This paper considers a bi-criteria general 0-1 random fuzzy programming problem based on the degree of necessity which include some previous 0-1 stochastic and fuzzy programming problems. The proposal problem is not well-defined due to including randomness and fuzziness. Therefore, by introducing chance constraint and fuzzy goals for objectives, and considering the maximization of the aspiration level for total profit and the degree of necessity that the objective function's value satisfies the fuzzy goal, the main problem is transformed into a deterministic equivalent problem. Furthermore, by using the assumption that each random variable is distributed according to a normal distribution, the problem is equivalently transformed into a basic 0-1 programming problem, and the efficient strict solution method to find an optimal solution is constructed.

Original languageEnglish
Title of host publicationIAENG Transactions on Engineering Technologies Volume 3 - Special Edition of the International MultiConference of Engineers and Computer Scientists 2009
Pages69-82
Number of pages14
DOIs
Publication statusPublished - 2009 Nov 30
EventInternational MultiConference of Engineers and Computer Scientists, IMECS 2009 - Hong Kong, China
Duration: 2009 Mar 182009 Mar 20

Publication series

NameAIP Conference Proceedings
Volume1174
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Other

OtherInternational MultiConference of Engineers and Computer Scientists, IMECS 2009
CountryChina
CityHong Kong
Period09/3/1809/3/20

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Keywords

  • 0-1 programming problem
  • Degree of necessity
  • Maximm approach
  • Random fuzzy variables
  • Relaxation problem

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Hasuike, T., Katagiri, H., & Ishii, H. (2009). A maximin approach for the bi-criteria 0-1 random fuzzy programming problem based on the necessity measure. In IAENG Transactions on Engineering Technologies Volume 3 - Special Edition of the International MultiConference of Engineers and Computer Scientists 2009 (pp. 69-82). (AIP Conference Proceedings; Vol. 1174). https://doi.org/10.1063/1.3256262