Interactive random fuzzy two-level programming through possibility-based fractile criterion optimality

Hideki Katagiri, Keiichi Niwa, Daiji Kubo, Takashi Hasuike

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

10 Citations (Scopus)

Abstract

This paper considers two-level linear programming problems where each coefficient of the objective functions is expressed by a random fuzzy variable. A new decision making model is proposed in order to maximize both of possibility and probability with respect to the objective function value. After the original random fuzzy two-level programming problem is reduced to a deterministic one through the proposed model, interactive programming to derive a satisfactory solution for the decision maker at the upper level in consideration of the cooperative relation between decision makers is presented.

Original languageEnglish
Title of host publicationProceedings of the International MultiConference of Engineers and Computer Scientists 2010, IMECS 2010
Pages2113-2118
Number of pages6
Publication statusPublished - 2010
Externally publishedYes
EventInternational MultiConference of Engineers and Computer Scientists 2010, IMECS 2010 - Kowloon, Hong Kong
Duration: 2010 Mar 172010 Mar 19

Other

OtherInternational MultiConference of Engineers and Computer Scientists 2010, IMECS 2010
CountryHong Kong
CityKowloon
Period10/3/1710/3/19

Fingerprint

Linear programming
Decision making

Keywords

  • Cooperative two-level programming
  • Fractile criterion
  • Interactive algorithm
  • Possibility measure
  • Random fuzzy variable

ASJC Scopus subject areas

  • Computer Science (miscellaneous)

Cite this

Katagiri, H., Niwa, K., Kubo, D., & Hasuike, T. (2010). Interactive random fuzzy two-level programming through possibility-based fractile criterion optimality. In Proceedings of the International MultiConference of Engineers and Computer Scientists 2010, IMECS 2010 (pp. 2113-2118)

Interactive random fuzzy two-level programming through possibility-based fractile criterion optimality. / Katagiri, Hideki; Niwa, Keiichi; Kubo, Daiji; Hasuike, Takashi.

Proceedings of the International MultiConference of Engineers and Computer Scientists 2010, IMECS 2010. 2010. p. 2113-2118.

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

Katagiri, H, Niwa, K, Kubo, D & Hasuike, T 2010, Interactive random fuzzy two-level programming through possibility-based fractile criterion optimality. in Proceedings of the International MultiConference of Engineers and Computer Scientists 2010, IMECS 2010. pp. 2113-2118, International MultiConference of Engineers and Computer Scientists 2010, IMECS 2010, Kowloon, Hong Kong, 10/3/17.
Katagiri H, Niwa K, Kubo D, Hasuike T. Interactive random fuzzy two-level programming through possibility-based fractile criterion optimality. In Proceedings of the International MultiConference of Engineers and Computer Scientists 2010, IMECS 2010. 2010. p. 2113-2118
Katagiri, Hideki ; Niwa, Keiichi ; Kubo, Daiji ; Hasuike, Takashi. / Interactive random fuzzy two-level programming through possibility-based fractile criterion optimality. Proceedings of the International MultiConference of Engineers and Computer Scientists 2010, IMECS 2010. 2010. pp. 2113-2118
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