A Novel Approach to Solve Fully Fuzzy Linear Programming Problems with Modified Triangular Fuzzy Numbers

Saeid Jafarzadeh Ghoushchi, Elnaz Osgooei, Gholamreza Haseli and Hana Tomaskova
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Saeid Jafarzadeh Ghoushchi: Faculty of Industrial Engineering, Urmia University of Technology, Urmia 57166, Iran
Elnaz Osgooei: Faculty of Science, Urmia University of Technology, Urmia 57166, Iran
Gholamreza Haseli: Department of Management, Faculty of Economic, Management and Social Science, Shiraz University, Shiraz 71345, Iran
Hana Tomaskova: Faculty of Informatics and Management, University of Hradec Kralove, 500 06 Hradec Kralove, Czech Republic

Mathematics, 2021, vol. 9, issue 22, 1-13

Abstract: Recently, new methods have been recommended to solve fully fuzzy linear programming (FFLP) issues. Likewise, the present study examines a new approach to solve FFLP issues through fuzzy decision parameters and variables using triangular fuzzy numbers. The strategy, which is based on alpha-cut theory and modified triangular fuzzy numbers, is suggested to obtain the optimal fully fuzzy solution for real-world problems. In this method, the problem is considered as a fully fuzzy problem and then is solved by applying the new definition presented for the triangular fuzzy number to optimize decision variables and the objective function. Several numerical examples are solved to illustrate the above method.

Keywords: modified triangular fuzzy numbers; fuzzy decision variables; fully fuzzy linear programming; alpha-cut theory (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
References: View complete reference list from CitEc
Citations: View citations in EconPapers (5)

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