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A branch and bound technique for finding the minimal solutions of the linear optimization problems subjected to Lukasiewicz
- Publication Year :
- 2022
-
Abstract
- In this paper, an optimization model with a linear objective function subject to a system of fuzzy relation equations (FRE) is studied where the feasible region is defined by the Lukasiewicz t-norm. Since the finding of all minimal solutions is an NP-hard problem, designing an efficient solution procedure for solving such problems is not a trivial job. Firstly, the feasible domain is characterized and then the problem is solved with a modified branch-and-bound solution technique based on a new solution set that includes the minimal solutions. After presenting our solution procedure, a concrete example is included for illustration purposes.
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2204.06181
- Document Type :
- Working Paper