Necessary and Sufficient Optimality Conditions for Fuzzy Variational Problems of Several Dependent Variables in Terms of Fuzzy Granular Derivatives
-
Published:2023-10
Issue:05
Volume:31
Page:825-857
-
ISSN:0218-4885
-
Container-title:International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems
-
language:en
-
Short-container-title:Int. J. Unc. Fuzz. Knowl. Based Syst.
Author:
Tung Le Thanh1ORCID,
Tam Dang Hoang
Affiliation:
1. Department of Mathematics, College of Natural Sciences, Can Tho University, Can Tho 900000, Vietnam
Abstract
This paper is intended to investigate fuzzy variational problems of several dependent variables. Firstly, we establish both necessary and sufficient optimality conditions for fundamental fuzzy variational problems and fuzzy variational problems with natural boundary conditions. Then, the necessary and sufficient optimality conditions for fuzzy variational problems with isoperimetric constraints and holonomic constraints are discussed. Some examples are given to illustrate our results.
Funder
Ministry of Education and Training of Vietnam
Publisher
World Scientific Pub Co Pte Ltd
Subject
Artificial Intelligence,Information Systems,Control and Systems Engineering,Software