Abstract
In this paper, we have established appropriate duality relations for a general nonlinear optimization problem under fuzzy environment, taking exponential membership functions and using the aspiration level approach. A numerical example has also been shown to justify the results presented in the paper.
Highlights
1 Introduction Zadeh in 1965 introduced fuzzy set theory by publishing the first article in this area. He generalized the classical notion of a set and a proposition to accommodate fuzzyness
This has been applied in diverse fields such as machine learning, multi-attribute decision making, supply chain problems, management sciences, etc
Fuzzy set theory is applicable in the real life case like controlling smart traffic light
Summary
Zadeh in 1965 introduced fuzzy set theory by publishing the first article in this area. We prove duality theorems using exponential membership functions under convexity assumptions.
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