A new approach for solving fully fuzzy linear fractional programming problems using the multi-objective linear programming

Abstract

This paper deals with developing an efficient algorithm for solving the fully fuzzy linear fractional programming problem. To this end, we construct a new method which is obtained from combination of Charnes−Cooper scheme and the multi-objective linear programming problem. Furthermore, the application of the proposed method in real life problems is presented and this method is compared with some existing methods. The numerical experiments and comparative results presented promising results to find the fuzzy optimal solution.

Goal programming approach for solving multi-objective fractional transportation problem with fuzzy parameters

“…Anukokila et al [19,21,22] discussed a fuzzy goal programming approach for solving multi-objective transportation problem with interval cost. Das et al [6] presented a new approach for solving fully fuzzy linear fractional programming problems using the multi-objective linear programming. Zangiabadi et al [27] proposed an application of fuzzy goal programming to the linear multi-objective transportation problem.…”

Data envelopment analysis based on triangular neutrosophic numbers

“…Fuzzy set (FS) is one of the essential tools to deal with the uncertainty phenomena [20][21][22][23]. The first attempt at using FSs in DEA can be found in the work of Sengupta [24].…”

Neutrosophic structured element

“…Zadeh () first introduced the term fuzzy sets (FSs) against certain logic, where the membership degree ( μ ( x )) is indeed a real number on [0, 1]. After this work, many researchers studied this topic; details of some researches can be observed in (Das, Mandal, & Edalatpanah, , ; Finol, Guo, & Jing, ; Hsu, Tsai, & Wu, ; Jain & Haynes ; Najafi & Edalatpanah, , ; Najafi, Edalatpanah, & Dutta, ; Wang, Lu, & Liu, ; Zadeh, ). However, fuzzy sets cannot handle some cases where the membership degree is hard to define by a specific value.…”