Implementations of Special Ordered Sets in MP Software
Article Abstract:
Special ordered sets (SOS) are useful in non-convex optimization problems. They are used in mathematical programming (MP) software packages. Some of the applications of SOS are illustrated. Their superiority of MP software over binary variables is proven. Definitions and applications of SOS are given. Some applications covered are: (1) multiple-choice problems, (2) conditional multiple-choice restrictions, (3) discrete variables, (4) discontinuous variables and (5) piecewise functions. Problems encountered with the use of SOS are discussed. One recommendation is that SOS be well-weighted. Their number should be kept low. Formulae and tables are included.
Publication Name: European Journal of Operational Research
Subject: Business, international
ISSN: 0377-2217
Year: 1984
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Establishing strict dominance between alternatives with special type of incomplete information
Article Abstract:
An algorithm is proposed to establish dominance with decision maker's incomplete information in multicriteria decision problems with certainty. The model allows checking of strict dominance between alternatives by simple matrix operation without solving linear programs, resulting in reduced computational time and efforts related to linear programming methods. Since it allows manual and quick calculation, it is thus useful in situations when a quick decision is needed or when a decision should be made without the aid of a computer.
Publication Name: European Journal of Operational Research
Subject: Business, international
ISSN: 0377-2217
Year: 1997
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A note on rough sets and common knowledge events
Article Abstract:
A study was conducted to create a link between the basic ideas of Z. Pawlak's rough sets theory and those associated with the distribution of knowledge among players conceptualized by R.J. Aumann. A finite set and a family of equivalence relations were utilized to determine a knowledge base based on the terminologies of Pawlak. Two subsets were then defined for any equivalence relation. In addition, the universe of discourse was represented by a set of books categorized based on weight, language and number of authors.
Publication Name: European Journal of Operational Research
Subject: Business, international
ISSN: 0377-2217
Year: 1999
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