scholarly journals Application of Interactive Fuzzy Programming for Two-level Linear Fractional Programming Models of Production and Assignment Problems : A Case Study

2000 ◽  
Vol 12 (3) ◽  
pp. 395-405 ◽  
Author(s):  
Masatoshi SAKAWA ◽  
Ichiro NISHIZAKI ◽  
Yoshio UEMURA
Keyword(s):  
Fractional Programming ◽  
Fuzzy Programming ◽  
Programming Models ◽  
Linear Fractional Programming ◽  
Assignment Problems ◽  
Interactive Fuzzy Programming

Fuzzy Numbers and Fractional Programming in Making Decisions

2020 ◽  
Vol 19 (04) ◽  
pp. 1123-1147
Author(s):  
Bogdana Stanojević ◽  
Simona Dzitac ◽  
Ioan Dzitac
Keyword(s):  
Fractional Programming ◽  
Fuzzy Numbers ◽  
Electrical Power ◽  
Real Life ◽  
Mathematical Optimization ◽  
Programming Models ◽  
Multi Criteria Decision Making ◽  
Wide Sense ◽  
Linear Fractional Programming ◽  
Life Problems

This study surveys the use of fuzzy numbers in classic optimization models, and its effects on making decisions. In a wide sense, mathematical programming is a collection of tools used in mathematical optimization to make good decisions. There are many sectors of economy that employ it. Finance and government, logistics and manufacturing, the distribution of the electrical power are worth to be first mentioned. When real life problems are modeled mathematically, there is always a trade-off between model’s accuracy and complexity. By this survey, we aim to present in a concise form some mathematical models from the literature together with the methods to solve them. We will focus mainly on fuzzy fractional programming problems. We will also refer to but not describe in detail the multi-criteria decision-making problems involving fuzzy numbers and linear fractional programming models.

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