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

Takashi Hasuike, Hideki Katagiri, Hiroaki Ishii

研究成果: Conference contribution

抄録

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.

本文言語English
ホスト出版物のタイトルIAENG Transactions on Engineering Technologies Volume 3 - Special Edition of the International MultiConference of Engineers and Computer Scientists 2009
ページ69-82
ページ数14
DOI
出版ステータスPublished - 2009 11 30
外部発表はい
イベントInternational MultiConference of Engineers and Computer Scientists, IMECS 2009 - Hong Kong, China
継続期間: 2009 3 182009 3 20

出版物シリーズ

名前AIP Conference Proceedings
1174
ISSN(印刷版)0094-243X
ISSN(電子版)1551-7616

Other

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

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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