A fuzzy mathematical model to solve multi-objective trapezoidal fuzzy fractional programming problems
作者：
Sujit Maharana;Suvasis Nayak*
通讯作者：
Suvasis Nayak
作者机构：
Department of Mathematics, School of Applied Sciences, KIIT Deemed to be University, Bhubaneswar, India
Department of Mathematics, School of Applied Sciences, KIIT Deemed to be University, Bhubaneswar, India
通讯机构：
Department of Mathematics, School of Applied Sciences, KIIT Deemed to be University, Bhubaneswar, India
语种：
英文
关键词：
Fractional programming,Multi-objective optimization,Trapezoidal fuzzy numbers,Interval valued functions,Fuzzy cuts
期刊：
International Journal of System Assurance Engineering and Management
ISSN：
0975-6809
年：
2024
基金类别：
No funding was received to conduct this work.
摘要：
Decision making problems with ambiguous data often arise in numerous practical fields which can be formulated as optimization models in fuzzy environment. This paper develops a new mathematical model using a proposed methodology to efficiently solve a multi-objective linear fuzzy fractional programming problem in trapezoidal fuzzy environment and generate a set of nondominated solutions. The concept of fuzzy cuts with different degrees of satisfaction is implemented which transforms the fuzzy optimization into an equivalent interval valued optimization. Subsequently, interval valued linear functions approximate the fuzzy valued fractional functions based on Taylor’s seri...
