A new method for solving quadratic fractional programming problem in neutrosophic environment

Author:

Khalifa Hamiden Abd El-Wahed12,Alharbi Majed3,Kumar Pavan4

Affiliation:

1. Operations Research Department, Faculty of Graduate Studies for Statistical Research, Cairo University , Giza , Egypt

2. Mathematics Department, College of Science and Arts , Al-Badaya , Qassim University , Saudi Arabia

3. Mathematics Department, College of Science and Arts , Methnab , Qassim University , Saudi Arabia

4. Department of Mathematics, School of Advanced Science and Languages, VIT Bhopal University , Sehore , MP, 466114 , India

Abstract

Abstract In the current study, a neutrosophic quadratic fractional programming (NQFP) problem is investigated using a new method. The NQFP problem is converted into the corresponding quadratic fractional programming (QFP) problem. The QFP is formulated by using the score function and hence it is converted to the linear programming problem (LPP) using the Taylor series, which can be solved by LPP techniques or software (e.g., Lingo). Finally, an example is given for illustration.

Publisher

Walter de Gruyter GmbH

Subject

Electrical and Electronic Engineering,Mechanical Engineering,Aerospace Engineering,General Materials Science,Civil and Structural Engineering,Environmental Engineering

Reference36 articles.

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3. Effati S , Pakdaman M . Solving the interval-valued linear fractional programming problem. Am J Comput Math. 2012;2:51–5. 10.4236/ajcm.2012.21006.

4. Ammar EE , Khalifa HA . A parametric approach for solving the multicriteria linear fractional programming problem. J Fuzzy Math. 2004;12(3):120–34.

5. Tantawy SF . A new procedure for solving linear fractional programming problems. Math Comp Model. 2008;48(5–6):969–73. 10.1016/j.mcm.2007.12.007.

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