2002 journal article

Multi-objective optimization problems with fuzzy relation equation constraints

FUZZY SETS AND SYSTEMS, 127(2), 141–164.

By: H. Loetamonphong n, S. Fang n & R. Young n

author keywords: fuzzy relation equations; max-min composition; multi-objective optimization; genetic algorithm
TL;DR: A genetic-based algorithm is proposed to find the "Pareto optimal solutions" of a new class of optimization problems which have multiple objective functions subject to a set of fuzzy relation equations. (via Semantic Scholar)
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018

2001 journal article

Optimization of fuzzy relation equations with max-product composition

FUZZY SETS AND SYSTEMS, 118(3), 509–517.

By: J. Loetamonphong n & S. Fang n

author keywords: fuzzy relation equations; max-product composition; branch-and-bound method; integer programming
TL;DR: This paper studies an optimization problem with a linear objective function subject to a system of fuzzy relation equations using max-product composition and captures some special characteristics of its feasible domain and the optimal solutions. (via Semantic Scholar)
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018

1999 journal article

An efficient solution procedure for fuzzy relation equations with max-product composition

IEEE TRANSACTIONS ON FUZZY SYSTEMS, 7(4), 441–445.

By: J. Loetamonphong n & S. Fang*

author keywords: fuzzy relation equations; max-product composition; minimal solutions
TL;DR: A system of fuzzy relation equations with max-product composition is studied and an efficient solution procedure to characterize the whole solution set by finding the maximum solution as well as the complete set of minimal solutions is presented. (via Semantic Scholar)
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018

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