the shapley value, one of the most common solution concepts of cooperative game theory is defined and axiomatically characterized in different game-theoretic models. certainly, the shapley value can be used in interesting sharing cost/reward problems in the operations research area such as connection, routing, scheduling, production and inventory situations. in this paper, we focus on the shapl...

In ordinary transportation problems, it is always supposed that the mileage from every source to every destination is a definite number. But in special conditions, such as transporting emergency materials when natural calamity occurs or transporting military supplies during wartime, carrying network may be destroyed, mileage from some sources to some destinations are no longer definite. It is u...

In recent years, the problem of selecting and evaluating the suppliers in supply chain management has aroused considerable interest in business firms. Owing to the development of information systems, reaching an appropriate decision for adopting discrete methods is a need. The researchers intend to present a new model in this paper as a contributing factor in the grey environment in which the r...

Structured documents have become a widely accepted concept for document manipulation applications like editing, formatting, and archiving. However, some aspects of structured documents are still not well understood. In particular, the transition in structured documents from logical structure to contents, is a grey area in which different systems use different interpretations. In this article, w...

The research scope of grey relational analysis has not been developed in recent years, and the exiting GRA models are all based on three perspectives, including distance perspective, slope perspective, and area perspective. Under this situation, a novel model called grey relational analysis based on angle perspective (GRAAP) was developed in this paper for the first time, and this model can exp...

In recent years, the problem of selecting and evaluating the suppliers in supply chain management has aroused considerable interest in business firms. Owing to the development of information systems, reaching an appropriate decision for adopting discrete methods is a need. The researchers intend to present a new model in this paper as a contributing factor in the grey environment in which the r...

the problems of shortages and quality deterioration of water, have led to an increased interest in the reuse of treated grey water in many parts of the world. this study examined the suitability of locally available materials (beach sand, oyster shells, and charcoal) to treat grey water samples collected weekly from three halls of residence (unity hall, africa hall, and independence hall) on kw...