Tree descriptions based on dominance constraints are popular in several areas of computational linguistics including syntax, semantics , and discourse. Tree descriptions in the language of context unii-cation have attracted some interest in uniication and rewriting theory. Recently, dominance constraints and context uniication have both been used in diierent underspeciied approaches to the sema...

Knowledge reduction is one of the most important problems in rough set theory. However, most of information systems are not only inconsistent, but also based on dominance relations because of various factors. To acquire brief decision rules from inconsistent systems based on dominance relations, knowledge reductions are needed. The main aim of this paper is to study the problem. The assignment ...

Social dominance theory was developed to account for why societies producing surplus take and maintain the form of group-based dominance hierarchies, in which at least one socially-constructed group has more power than another, and in which men are more powerful than women and adults more powerful than children. Although the theory has always allowed for societies to differ in their severity of...

Dominance measuring methods are a recent approach for dealing with complex decisionmaking problems with imprecise, incomplete or partial information within multi-attribute value/utility theory. These methods compute pairwise dominance values and exploit the information included in the dominance matrix in different ways to derive measures of dominance intensity to rank the alternatives under con...

The dominance–based rough set approach plays an important role in the development of the rough set theory. It can be used to express the inconsistencies coming from consideration of the preference–ordered domains of the attributes. The purpose of this paper is to further generalize the dominance–based rough set model to fuzzy environment. The constructive approach is used to define the intuitio...

Dominance level of insecticide resistance provided by one major gene (an insensitive acetylcholinesterase) in the mosquito Culex pipiens was studied in two distinct environments. Dominance level was found to be very different environments, varying from almost complete dominance to almost recessive when either propoxur (a carbamate insecticide) or chlorpyrifos (an organophosphorus insecticide) w...

Rough set theory is used in data mining through complex learning systems and uncertain information decision from artificial intelligence. For multiple attribute decision making, rough sets employ attribute reduction to generate decisive rules. However, dynamic information databases, which record attribute values changing with time, raise questions to rough set based multiple attribute reduction...

We introduce stochastic optimization problems involving stochastic dominance constraints. We develop necessary and sufficient conditions of optimality and duality theory for these models and show that the Lagrange multipliers corresponding to dominance constraints are concave nondecreasing utility functions. The models and results are illustrated on a portfolio optimization problem.