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An (R, S)-norm fuzzy information measure with its applications in multiple-attribute decision-making
- Source :
- Computational and Applied Mathematics. 37:2943-2964
- Publication Year :
- 2017
- Publisher :
- Springer Science and Business Media LLC, 2017.
-
Abstract
- In this paper, we introduce a quantity measure which is called (R, S)-norm entropy and discuss some of its major properties with Shannon’s and other entropies in the literature. Based on this (R, S)-norm entropy, we have proposed a new (R, S)-norm fuzzy information measure and discussed its validity and properties. Further, we have given its comparison with other fuzzy information measures to prove its effectiveness. Attribute weights play an important role in multiple-attribute decision-making problems. In the present communication, two methods of determining the attribute weights are introduced. First is the case when the information regarding attribute weights is incompletely known or completely unknown and second is when we have partial information about attribute weights. For the first case, the extension of ordinary entropy weight method is used to calculate attribute weights and minimum entropy principle method based on solving a linear programming model is used in the second case. Finally, two methods are explained through numerical examples.
- Subjects :
- 0209 industrial biotechnology
Mathematical optimization
Shannon's source coding theorem
Applied Mathematics
Min entropy
02 engineering and technology
Joint entropy
Information diagram
Rényi entropy
Computational Mathematics
020901 industrial engineering & automation
0202 electrical engineering, electronic engineering, information engineering
Entropy (information theory)
Information theory and measure theory
Applied mathematics
020201 artificial intelligence & image processing
Joint quantum entropy
Mathematics
Subjects
Details
- ISSN :
- 18070302 and 01018205
- Volume :
- 37
- Database :
- OpenAIRE
- Journal :
- Computational and Applied Mathematics
- Accession number :
- edsair.doi...........93aa7abfc750f094688c47abecdfc8d3