CFP last date
20 May 2024
Reseach Article

Solving a Interval Fuzzy Linear Programming Problem using Alpha-cut Operation

by A.sahaya Sudha, N.anitha
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 112 - Number 10
Year of Publication: 2015
Authors: A.sahaya Sudha, N.anitha
10.5120/19702-1504

A.sahaya Sudha, N.anitha . Solving a Interval Fuzzy Linear Programming Problem using Alpha-cut Operation. International Journal of Computer Applications. 112, 10 ( February 2015), 14-16. DOI=10.5120/19702-1504

@article{ 10.5120/19702-1504,
author = { A.sahaya Sudha, N.anitha },
title = { Solving a Interval Fuzzy Linear Programming Problem using Alpha-cut Operation },
journal = { International Journal of Computer Applications },
issue_date = { February 2015 },
volume = { 112 },
number = { 10 },
month = { February },
year = { 2015 },
issn = { 0975-8887 },
pages = { 14-16 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume112/number10/19702-1504/ },
doi = { 10.5120/19702-1504 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T22:49:06.251775+05:30
%A A.sahaya Sudha
%A N.anitha
%T Solving a Interval Fuzzy Linear Programming Problem using Alpha-cut Operation
%J International Journal of Computer Applications
%@ 0975-8887
%V 112
%N 10
%P 14-16
%D 2015
%I Foundation of Computer Science (FCS), NY, USA
Abstract

In our day to day activities modeling and solving of an optimization problem is one of the most important aspect. In this paper a new method is proposed to solve a fuzzy linear programming problem using interval arithmetic based on Alpha- cut.

References
  1. Bellman R. E and Zadeh L. A. "Decision Making in A Fuzzy Environment",ManagementScience,17(1970),141-164.
  2. Campos,J. L ,Vardegay, "Linear Programming Problem and ranking of fuzzy numbers", fuzzy sets and system. 32(1989)1-11.
  3. Dubois,D. ,and Prade,H. ,(2000) "Fundamentals of fuzzy sets", Kluwer Academic Publishers,Boston.
  4. Jayalakshmi. M,Pandian P . , "A New Method for finding an optimal fuzzy solution for fully fuzzy linear programming problems", International Journal of Engineering Research and Applications (IJERA),2( 4) 2012,247-254.
  5. Kaufman A. ,and Gupta,M. ,(1984) "Introduction to Fuzzy Arithmetic,Theory and applications",Van Nostrand Reinhold Co. Inc. ,Workingham,Berkshire.
  6. Maleki H. R. Tata. M and Mashinchi. M, "Linear Programming with Fuzzy variables" ,Fuzzy Sets and system ,109(2000),21-33.
  7. PalashDutta,HrishikeshBoruah,TazidAli,"Fuzzy Arithmetic with and without using ? -cut method" International journal of latest trends in computing,(IJLTC) 2(2011),99-107.
  8. Pandian ,P. and Jayalakshmi,M. , "A new method for solving Integer linear programming problems with fuzzy variable". ,AppliedMathematics Sciences,. 4(20)(2010), 997-1004.
  9. Tanaka . H ,Okuda. T and Asai. K "On Fuzzy Mathematical programming" ,Journal of cybemetics and systema 3(1973),37-46.
  10. Zimmermann,H. J "Fuzzy programming and linear programming with several objective functions". Fuzzy Sets and Systems,1(1978),45-55.
Index Terms

Computer Science
Information Sciences

Keywords

Triangular fuzzy number Fuzzy linear programming Interval arithmetic.