Study of Fuzzy Integer Linear Programming Problems (IFLPP) and Simplex Method-Reference-Cited by-同舟云学术

Study of Fuzzy Integer Linear Programming Problems (IFLPP) and Simplex Method

Published:2023-09-01 Issue: Volume: Page:214-220
ISSN:2395-602X
Container-title:International Journal of Scientific Research in Science and Technology
language:en
Short-container-title:IJSRST

Author:

Kumari Tanu Mittal ¹,Dr. Ashok Kumar Sah ²

Affiliation:

1. Research Scholar, University Department of Mathematics, B. R. A. Bihar University, Muzaffarpur, Bihar, India

2. Assistant Professor, Department of Mathematics, Dr. R. M. L. S. College, Muzaffarpur, B. R. A. Bihar University, Muzaffarpur, Bihar, India

Abstract

In this paper, a new method is proposed to find the fuzzy optimal solution of fully fuzzy linear programming problems with triangular fuzzy numbers. A computational method for solving fully fuzzy linear programming problems (FFLPP) is proposed, based upon the new Ranking function. The proposed method is very easy to understand and to apply for fully fuzzy linear programming problems occurring in real life situations as compared to the existing methods. To illustrate the proposed method numerical examples are solved.

Publisher

Technoscience Academy

Subject

Cardiology and Cardiovascular Medicine

Reference19 articles.

1. T. Allahviranloo, F. Hosseinzadeh, M.Kh Kiassary, N.A Kiani and L.Alizadeh, “Solving fully fuzzy linear programming problem by the ranking function”, Applied mathematical sciences, vol.8, pp. 19-32, 2008.

2. Amit kumar, Jagdeep kaur and pushpinder sign, “Fuzzy optimal solution of fully fuzzy linear programming problems with inequality constraints”, International Journal of mathematical and computer science, pp. 37-40, 2010.

3. Km T. Mittal and A. K. Sah, “Fuzzy linear programming problems and solutions using Ranking function and simplex method”, IJSRST, vol.9, Issue 6, pp. 738-743, 2022.

4. R.E Bellman and L.A Zadeh ,“Decision making in a fuzzy environment”, Management sciences, vol.17, pp. 141-164, 1970.

5. J.M. Cadenas and J.L. Verdegay, “Using Fuzzy Numbers in linear programming”, IEEE Transactions on Systems, vol. 27, pp. 1016-1022, 1997.