Quasi-proper efficiency: a quantitative enhanced efficiency | Zendy

Latif Pourkarimi | Zendy; Masoud Karimi | Zendy

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Quasi-proper efficiency: a quantitative enhanced efficiency

Author(s) -

Latif Pourkarimi,

Masoud Karimi

Publication year - 2018

Publication title -

turkish journal of mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.454

H-Index - 27

eISSN - 1303-6149

pISSN - 1300-0098

DOI - 10.3906/mat-1610-124

Subject(s) - mathematics , bounded function , extension (predicate logic) , norm (philosophy) , scalar (mathematics) , metric (unit) , mathematical optimization , mathematical analysis , computer science , geometry , operations management , political science , law , economics , programming language

This paper deals with an extension of proper efficiency that considers bounded and unbounded trade-offs between objective functions. While trade-offs between objective functions are unbounded, the rate of growth for these trade-offs is computed by applying a metric. A new concept, namely quasi-proper efficiency is introduced that shows that rate of growth of trade-off between objective functions. Two appropriate characterizations for this concept are developed: the first one is based on a scalar function utilizing the Chebyshev norm and the second one is in terms of the concept of stability.

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