A random fuzzy programming models based on possibilistic programming

Hideki Katagiri, Takashi Hasuike, Hiroaki Ishii

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

13 Citations (Scopus)

Abstract

This paper considers linear programming problems where each coefficient of the objective function is expressed by a random fuzzy variable. New decision making models are proposed based on stochastic and possibilistic programming in order to maximize both of possibility and probability with respect to the objective function value. It is shown that each of the proposed models is transformed into a deterministic equivalent one. Solution algorithms using convex programming techniques and/or the bisection method are provided for obtaining an optimal solution of each model.

Original languageEnglish
Title of host publicationConference Proceedings - IEEE International Conference on Systems, Man and Cybernetics
Pages1788-1793
Number of pages6
DOIs
Publication statusPublished - 2008
Externally publishedYes
Event2008 IEEE International Conference on Systems, Man and Cybernetics, SMC 2008 - Singapore, Singapore
Duration: 2008 Oct 122008 Oct 15

Other

Other2008 IEEE International Conference on Systems, Man and Cybernetics, SMC 2008
CountrySingapore
CitySingapore
Period08/10/1208/10/15

Fingerprint

Convex optimization
Linear programming
Decision making

Keywords

  • Linear program
  • Random fuzzy programming models
  • Random fuzzy variable

ASJC Scopus subject areas

  • Electrical and Electronic Engineering
  • Control and Systems Engineering
  • Human-Computer Interaction

Cite this

Katagiri, H., Hasuike, T., & Ishii, H. (2008). A random fuzzy programming models based on possibilistic programming. In Conference Proceedings - IEEE International Conference on Systems, Man and Cybernetics (pp. 1788-1793). [4811548] https://doi.org/10.1109/ICSMC.2008.4811548

A random fuzzy programming models based on possibilistic programming. / Katagiri, Hideki; Hasuike, Takashi; Ishii, Hiroaki.

Conference Proceedings - IEEE International Conference on Systems, Man and Cybernetics. 2008. p. 1788-1793 4811548.

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

Katagiri, H, Hasuike, T & Ishii, H 2008, A random fuzzy programming models based on possibilistic programming. in Conference Proceedings - IEEE International Conference on Systems, Man and Cybernetics., 4811548, pp. 1788-1793, 2008 IEEE International Conference on Systems, Man and Cybernetics, SMC 2008, Singapore, Singapore, 08/10/12. https://doi.org/10.1109/ICSMC.2008.4811548
Katagiri H, Hasuike T, Ishii H. A random fuzzy programming models based on possibilistic programming. In Conference Proceedings - IEEE International Conference on Systems, Man and Cybernetics. 2008. p. 1788-1793. 4811548 https://doi.org/10.1109/ICSMC.2008.4811548
Katagiri, Hideki ; Hasuike, Takashi ; Ishii, Hiroaki. / A random fuzzy programming models based on possibilistic programming. Conference Proceedings - IEEE International Conference on Systems, Man and Cybernetics. 2008. pp. 1788-1793
@inproceedings{27c1afd97c664eb7904262486a254540,
title = "A random fuzzy programming models based on possibilistic programming",
abstract = "This paper considers linear programming problems where each coefficient of the objective function is expressed by a random fuzzy variable. New decision making models are proposed based on stochastic and possibilistic programming in order to maximize both of possibility and probability with respect to the objective function value. It is shown that each of the proposed models is transformed into a deterministic equivalent one. Solution algorithms using convex programming techniques and/or the bisection method are provided for obtaining an optimal solution of each model.",
keywords = "Linear program, Random fuzzy programming models, Random fuzzy variable",
author = "Hideki Katagiri and Takashi Hasuike and Hiroaki Ishii",
year = "2008",
doi = "10.1109/ICSMC.2008.4811548",
language = "English",
pages = "1788--1793",
booktitle = "Conference Proceedings - IEEE International Conference on Systems, Man and Cybernetics",

}

TY - GEN

T1 - A random fuzzy programming models based on possibilistic programming

AU - Katagiri, Hideki

AU - Hasuike, Takashi

AU - Ishii, Hiroaki

PY - 2008

Y1 - 2008

N2 - This paper considers linear programming problems where each coefficient of the objective function is expressed by a random fuzzy variable. New decision making models are proposed based on stochastic and possibilistic programming in order to maximize both of possibility and probability with respect to the objective function value. It is shown that each of the proposed models is transformed into a deterministic equivalent one. Solution algorithms using convex programming techniques and/or the bisection method are provided for obtaining an optimal solution of each model.

AB - This paper considers linear programming problems where each coefficient of the objective function is expressed by a random fuzzy variable. New decision making models are proposed based on stochastic and possibilistic programming in order to maximize both of possibility and probability with respect to the objective function value. It is shown that each of the proposed models is transformed into a deterministic equivalent one. Solution algorithms using convex programming techniques and/or the bisection method are provided for obtaining an optimal solution of each model.

KW - Linear program

KW - Random fuzzy programming models

KW - Random fuzzy variable

UR - http://www.scopus.com/inward/record.url?scp=67650262610&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=67650262610&partnerID=8YFLogxK

U2 - 10.1109/ICSMC.2008.4811548

DO - 10.1109/ICSMC.2008.4811548

M3 - Conference contribution

AN - SCOPUS:67650262610

SP - 1788

EP - 1793

BT - Conference Proceedings - IEEE International Conference on Systems, Man and Cybernetics

ER -