On fuzzy convexity and parametric fuzzy optimization
Fuzzy Sets and Systems
Fuzzy multiple objective programming and compromise programming with Pareto optimum
Fuzzy Sets and Systems
Fuzzy Sets and Systems
Some properties of convex fuzzy sets
Fuzzy Sets and Systems
Fuzzy Sets and Systems
Fuzzy logic: intelligence, control, and information
Fuzzy logic: intelligence, control, and information
Fuzzy Sets and Systems
Pareto-optimality of compromise decisions
Fuzzy Sets and Systems
A property on convex fuzzy sets
Fuzzy Sets and Systems
Convexity and upper semicontinuity of fuzzy sets
Computers & Mathematics with Applications
Φ1-concavity and fuzzy multiple objective decision making
Computers & Mathematics with Applications
Triangular norm based graded convex fuzzy sets
Fuzzy Sets and Systems
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In this paper, based on the more restrictive definition of fuzzy convexity due to Ammar and Metz [1], several useful composition rules are developed. The advantages in using the more restrictive definition of fuzzy convexity are that local optimality implies global optimality, and that any convex combination of such convex fuzzy sets is also a convex fuzzy set. As shown in this paper, these properties are laking in the usual convex fuzzy sets. In addition, to illustrate the applications in fuzzy convex optimization, two examples in multiple objective programming are considered.