Skip to main content
Log in

Interactive fuzzy linear programming and an application sample at a textile firm

  • Published:
Fuzzy Optimization and Decision Making Aims and scope Submit manuscript

Abstract

The purpose of this study is to examine Interactive Fuzzy Linear Programming (IFLP) model by using Zimmermann, Werners, Chanas and Verdegay’s approaches that provide best decision-making under fuzzy environments. In this study, it is used the method which can model the fuzzy structure of the real world and which operates with the decision maker interactively, which aims at obtaining the best solution by continuing this interactiveness in the solution process, which includes fuzziness with more realistic approach to the system. It is showed that the importance of fuzziness concept for IFLP problems, how it is applied on real-world problems and its effects.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Arıkan F. (1996). Bulanık hedef programlamanın çok amaçlı proje şebekesine uygulanması. Ankara, Türkiye: Yayınlanmamış Y.L.Tezi, Gazi Üniversitesi

  • Delgado M; Verdegay J.L, Vila (1989). A general model for fuzzy linear programming. Fuzzy Sets and Systems, 29, 21-29

  • Ertuğrul, I. (1996). Bulanık mantık ve bir üretim planlamasında uygulama örneği. Denizli, Türkiye: Yayınlanmamış Y.L. Tezi, Pamukkale Üniversitesi

  • M. Güneş N. Umarusman (2003) ArticleTitleBir karar destek aracı bulanık hedef programlama ve yerel yönetimlerde vergi optimizasyonu uygulaması Review of Social, Economic and Business Studies 2 242–255

    Google Scholar 

  • S.M. Guu Y.K. Wu (1999) ArticleTitleTwo phase approach for solving the fuzzy linear programming problems Fuzzy Sets and Systems 107 IssueID2 191–195 Occurrence Handle0949.90098 Occurrence Handle1702847 Occurrence Handle10.1016/S0165-0114(97)00304-7

    Article  MATH  MathSciNet  Google Scholar 

  • M. Inuiguchi H. Ichihashi Y. Kume (1990) ArticleTitleA solution algorithm for fuzzy linear programming with piecewise linear membership functions Fuzzy Sets and Systems 34 15–31 Occurrence Handle0693.90064 Occurrence Handle1039708 Occurrence Handle10.1016/0165-0114(90)90123-N

    Article  MATH  MathSciNet  Google Scholar 

  • K.D. Jamison W.A. Lodwick (2001) ArticleTitleFuzzy linear programming using a penalty method Fuzzy Sets and Systems 119 IssueID1 97–110 Occurrence Handle1044.90532 Occurrence Handle1810564 Occurrence Handle10.1016/S0165-0114(99)00082-2

    Article  MATH  MathSciNet  Google Scholar 

  • B. Kosko (1997) Fuzzy engineering University of Southern California, Prentice Hall NJ Occurrence Handle0895.94015

    MATH  Google Scholar 

  • Y.J. Lai C.L. Hwang (1992) ArticleTitleIntereactive fuzzy linear programming Fuzzy Sets and Systems 45 169–183 Occurrence Handle0768.90089 Occurrence Handle1149418 Occurrence Handle10.1016/0165-0114(92)90116-L

    Article  MATH  MathSciNet  Google Scholar 

  • X. Liu (2001) ArticleTitleMeasuring the satisfaction of constraints in fuzzy linear programming Fuzzy Sets and Systems 122 263–275 Occurrence Handle1015.90098 Occurrence Handle1854818 Occurrence Handle10.1016/S0165-0114(00)00114-7

    Article  MATH  MathSciNet  Google Scholar 

  • H.R. Maleki M. Tata M. Mashinchi (2001) ArticleTitleLinear programming with fuzzy variables Fuzzy Sets and Systems 109 21–33 Occurrence Handle1718394 Occurrence Handle10.1016/S0165-0114(98)00066-9

    Article  MathSciNet  Google Scholar 

  • T. Paksoy (2002) ArticleTitleBulanık küme teorisi ve doğrusal programlamada kullanımı: Karşılaştırmalı bir analiz Selçuk Üniversitesi Mühendislik Mimarlık Fakültesi Dergisi 17 IssueID1 1–16

    Google Scholar 

  • T. Paksoy M. Atak (2002) ArticleTitleEtkileşimli bulanık çok amaçlı doğrusal programlam ile bütünleşik üretim planlama: Hidrolik pompa imalatçısı firma örnek olayı Gazi Üniversitesi Fen Bilimleri Enstitüsü Dergisi 15 IssueID2 457–466

    Google Scholar 

  • H. Rommelfanger (1996) ArticleTitleFuzzy linear programming and applications Europan Journal of Operational Research 92 512–527 Occurrence Handle0914.90265 Occurrence Handle10.1016/0377-2217(95)00008-9

    Article  MATH  Google Scholar 

  • H. Rommelfanger R. Hanuscheck J. Wolf (1989) ArticleTitleLinear programming with fuzzy objectives Fuzzy Sets and Systems 29 31–48 Occurrence Handle0662.90045 Occurrence Handle976286 Occurrence Handle10.1016/0165-0114(89)90134-6

    Article  MATH  MathSciNet  Google Scholar 

  • Sankar, K.P. (1986). Fuzzy mathematical approach to pattern recognition. New York, USA

  • P.M. Vasant (2003) ArticleTitleApplication of fuzzy linear programming in production planning Fuzzy Optimization and Decision Making 3 229–241 Occurrence Handle2002431 Occurrence Handle10.1023/A:1025094504415

    Article  MathSciNet  Google Scholar 

  • R.C. Wang T.F. Liang (2004) ArticleTitleApplication of fuzzy multi-objective linear programming o aggregate production planning Computers and Industrial Engineering 46 17–41 Occurrence Handle10.1016/j.cie.2003.09.009

    Article  Google Scholar 

  • B. Werners (1987) ArticleTitleAn interactive fuzzy programming system Fuzzy Sets and Systems 23 131–147 Occurrence Handle0634.90076 Occurrence Handle894613 Occurrence Handle10.1016/0165-0114(87)90105-9

    Article  MATH  MathSciNet  Google Scholar 

  • R.R. Yager D.P. Filev (1994) Essentials of fuzzy modeling and control Wiley New York

    Google Scholar 

  • R. Zhao R. Govind G. Fan (1992) ArticleTitleThe complete decision set of the generalized symmetrical fuzzy linear programming Fuzzy Sets and Systems 51 53–65 Occurrence Handle0786.90091 Occurrence Handle1187371 Occurrence Handle10.1016/0165-0114(92)90075-F

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to İrfan Ertuğrul.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Ertuğrul, İ., Tuş, A. Interactive fuzzy linear programming and an application sample at a textile firm. Fuzzy Optim Decis Making 6, 29–49 (2007). https://doi.org/10.1007/s10700-006-0023-y

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10700-006-0023-y

Keywords

Navigation