A computational solution of the inverse problem in radiation-therapy treatment planning
Applied Mathematics and Computation
Fuzzy sets and fuzzy logic: theory and applications
Fuzzy sets and fuzzy logic: theory and applications
The three semantics of fuzzy sets
Fuzzy Sets and Systems - Special issue: fuzzy sets: where do we stand? Where do we go?
Fuzzy linear programming using a penalty method
Fuzzy Sets and Systems
The construction of consistent possibility and necessity measures
Fuzzy Sets and Systems - Possibility theory and fuzzy logic
Fuzzy modeling in terms of surprise
Fuzzy Sets and Systems - Special issue: Interfaces between fuzzy set theory and interval analysis
Material Requirement Planning with fuzzy constraints and fuzzy coefficients
Fuzzy Sets and Systems
Average misbelief criterion in the minimal fuzzy covering problem
FS'08 Proceedings of the 9th WSEAS International Conference on Fuzzy Systems
On Selecting an Algorithm for Fuzzy Optimization
IFSA '07 Proceedings of the 12th international Fuzzy Systems Association world congress on Foundations of Fuzzy Logic and Soft Computing
Computers & Mathematics with Applications
Using a minimal fuzzy covering in decision-making problems
Information Sciences: an International Journal
WSEAS Transactions on Information Science and Applications
Fuzzy covering problem based on the expert valuations
MMACTEE'09 Proceedings of the 11th WSEAS international conference on Mathematical methods and computational techniques in electrical engineering
Computing optimal solutions of a linear programming problem with interval type-2 fuzzy constraints
HAIS'12 Proceedings of the 7th international conference on Hybrid Artificial Intelligent Systems - Volume Part I
Constrained optimization problems under uncertainty with coherent lower previsions
Fuzzy Sets and Systems
Hi-index | 0.00 |
Fuzzy and possibilistic optimization methods are demonstrated to be effective tools in solving large-scale problems. In particular, an optimization problem in radiation therapy with various orders of complexity from 1000 to 62,250 constraints for fuzzy and possibilistic linear and nonlinear programming implementations possessing (1) fuzzy or soft inequalities, (2) fuzzy right-hand side values, and (3) possibilistic right-hand side is used to demonstrate that fuzzy and possibilistic optimization methods are tractable and useful. We focus on the uncertainty in the right side of constraints which arises, in the context of the radiation therapy problem, from the fact that minimal and maximal radiation tolerances are ranges of values, with preferences within the range whose values are based on research results, empirical findings, and expert knowledge, rather than fixed real numbers. The results indicate that fuzzy/possibilistic optimization is a natural and effective way to model various types of optimization under uncertainty problems and that large fuzzy and possibilistic optimization problems can be solved efficiently.