Abstract
In this paper, a new method is proposed to find the feasible (strong) fuzzy solution of a square ( n × n ) fully fuzzy linear equation system (FFLS) with triangular fuzzy numbers. The main purpose of the proposed method is to remove all the sign restrictions on the parameters and variables. Our method, which is based on the multiplication of two arbitrary triangular fuzzy numbers, converts the FFLS to a mixed integer programming problem. The method is illustrated with numerical examples.
Keywords
Fuzzy logic
Mathematics
Fuzzy number
Integer programming
Multiplication (music)
Sign (mathematics)
Integer (computer science)
Square (algebra)
Mathematical optimization
Linear programming
Applied mathematics
Fuzzy set
Computer science
Combinatorics
Mathematical analysis
Artificial intelligence
Geometry
Subject Areas
Fuzzy Systems and Optimization
·Statistics and Probability ·Physical Sciences
Multi-Criteria Decision Making
·Management Science and Operations Research ·Social Sciences
Optimization and Mathematical Programming
·Control and Systems Engineering ·Physical Sciences
Citations by Year
2017: 1
2021: 1
2023: 1
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