Abstract
This study firstly proposes a simpler method for evaluating one certain object’s quality with multiple criteria according to some preset evaluation threshold values that are real numbers. In real life, numerous individual valuations are provided with distributional linguistic input information and with multiple criteria, and thus they can become heterogeneous. Against this background, by using OWA weight functions we propose an extended setting and some methods to generate distributional evaluation threshold values which are suitable for the corresponding thresholds-based evaluation method. Some special definitions and formulations are also well provided with necessary analyses and comments. A numerical example of reservoir evaluation and effect are also illustrated.
Highlights
Numerous evaluation problems are based on quantitative analysis and its related decision taking [1,2,3,4]
Since in the evaluation environment of this study it is needed to handle heterogeneous linguistic input information which will be expressed as several different ordered weighted averaging (OWA) weight functions with varying dimensions, we extend the concept of set of OWA weight functions W(r) in Definition 2.1 and propose the extended set of OWA weight functions
Thresholds-based evaluation is commonly seen, workable and effective in many practical evaluation problems including the one involving in multiple criteria
Summary
Numerous evaluation problems are based on quantitative analysis and its related decision taking [1,2,3,4]. Since the forgoing mentioned linguistic information is more complex in structure than the simple real number, and for different involved criteria there need differently designed linguistic term sets for making surveys, the handling, judgment and possible merging of them need special techniques. The pervasiveness of such type of linguistic information in real decision making problems and the feasibility for collecting and dealing with such linguistic information, make the corresponding studies important and meaningful. We firstly formulate a relatively simpler evaluation method using partitioning method with real valued inputs, and some necessary review, definitions and comments are prepared for the later discussed method for heterogeneous evaluation information
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