MOEA Theory and Issues

Abstract

Many MOEA development efforts acknowledge various facets of underlying MOEA theory, but make limited contributions when simply citing relevant issues raised by others. Some authors, however, exhibit significant theoretical detail. Their work provides basic MOEA models and associated theories. Table 5.1 lists contemporary efforts reflecting MOEA theory development. In essence, an MOEA is searching for optimal elements in a partially ordered set or in the Pareto optimal set. Thus, the concept of convergence to P _true and PF _true is integral to the MOEA search process.

“...the trouble about arguments is, they ain’t nothing but theories, after all, and theories don’t prove nothing, they only give you a place to rest on, a spell, when you are tuckered out butting around and around trying to find out something there ain’t no way to find out... There’s another trouble about theories; there’s always a hole in them somewheres, sure, if you look close enough.”

—Mark Twain, Tom Sawyer Abroad