scholarly journals An Exponential Jensen Fuzzy Divergence Measure with Applications in Multiple Attribute Decision-Making

2018 ◽  
Vol 2018 ◽  
pp. 1-9 ◽  
Author(s):  
Rajesh Joshi ◽  
Satish Kumar
Keyword(s):  
Decision Making ◽  
Probability Distributions ◽  
Multiple Attribute Decision Making ◽  
Strategic Decision ◽  
Strategic Decision Making ◽  
Jensen Inequality ◽  
Divergence Measure ◽  
Multiple Attribute ◽  
Fuzzy Divergence ◽  
Exponential Entropy

A divergence measure plays an important role in discriminating two probability distributions and drawing inferences based on such discrimination. This communication introduces one such divergence measure based on Jensen inequality and exponential entropy introduced by Pal and Pal in the settings of probability theory. Further, the idea has been generalized to fuzzy sets to introduce a new fuzzy divergence measure. Besides establishing the validity, some of its major properties are also studied. At last, the application of proposed fuzzy divergence measure is given in strategic decision-making.

scholarly journals Application of Exponential Jensen Picture Fuzzy Divergence Measure in Multi-Criteria Group Decision Making

Mathematics ◽  
2019 ◽  
Vol 7 (2) ◽  
pp. 191 ◽  
Author(s):  
Shouzhen Zeng ◽  
Shahzaib Asharf ◽  
Muhammad Arif ◽  
Saleem Abdullah
Keyword(s):  
Decision Making ◽  
Probability Theory ◽  
Group Decision Making ◽  
Group Decision ◽  
Probability Distributions ◽  
Jensen Inequality ◽  
Divergence Measure ◽  
Fuzzy Divergence ◽  
Crucial Part ◽  
Exponential Entropy

A divergence measure plays a crucial part in discriminating two probability distributions and drawing inferences constructed on such discrimination. The intention of this study is to propose such a divergence measure based on Jensen inequality and exponential entropy in the settings of probability theory. Further, the idea has been generalized to fuzzy sets to familiarize a novel picture fuzzy divergence measure. Besides proposing the validity, some of its key properties are also deliberated. Finally, two illustrative examples are solved based on the proposed picture fuzzy divergence measure which shows the expediency and effectiveness of the proposed approach.

Applying Group Decision Making and Multiple Attribute Decision Making Methods in Business Processes

2014 ◽  
Vol 693 ◽  
pp. 237-242
Author(s):  
Kateřina Kashi ◽  
Jiří Franek
Keyword(s):  
Decision Making ◽  
Group Decision Making ◽  
Balanced Scorecard ◽  
Business Processes ◽  
Group Decision ◽  
Real Life ◽  
Analytic Network Process ◽  
Multiple Attribute Decision Making ◽  
Strategic Decision ◽  
Multiple Attribute

The aim of this applied research is to focus on real-life application of multiple attribute decision making (MADM) methods and their adaptation in a way which can be acceptable for business practice. The study will apply the group decision making methods on a Balanced Scorecard (BSC) as a type of performance measurement and strategic decision making. The study is mainly concerned with multiple criteria decomposition method of analytic network process (ANP) method, WINGS technique and entropy. This group of methods had been already applied in several business domains. However, majority of the implementation was only presented as an example how it could work in practice, but they were not investigated from the perspective of how much information they could provide to the management. In this paper, proposed methods will be used to determine which criteria are most important for the company within the Balanced Scorecard and results of all methods will be compared. The aim of this study is, by utilizing group MADM approach, to discover the areas of the BSC which must be improved so that a total performance increases.

On Generalized Fuzzy Entropy and Fuzzy Divergence Measure with Applications

2019 ◽  
Vol 8 (3) ◽  
pp. 47-69 ◽  
Author(s):  
Surender Singh ◽  
Sonam Sharma
Keyword(s):  
Fuzzy Set ◽  
Multiple Attribute Decision Making ◽  
Point Of View ◽  
Fuzzy Entropy ◽  
Entropy Measure ◽  
Divergence Measure ◽  
Linguistic Variables ◽  
Directed Divergence ◽  
Multiple Attribute ◽  
Fuzzy Divergence

Entropy in a fuzzy set measures the amount of ambiguity/imprecision presented in the fuzzy set. In this article, the authors introduce a generalized fuzzy entropy measure and demonstrate its effectiveness in Multiple Attribute Decision Making (MADM) and superiority from the point of view of structured linguistic variables. This article also introduces a generalized fuzzy directed divergence and investigates its properties. Further, this article demonstrates the effectiveness of the proposed generalized directed divergence in pattern recognition.

PENERAPAN METODE SIMPLE ADDITIVE WEIGHTING DALAM PENETAPAN TENAGA KEPENDIDIKAN BERPRESTASI

2018 ◽  
Vol 1 (2) ◽  
pp. 45-54
Author(s):  
Helpi Nopriandi
Keyword(s):  
Decision Making ◽  
Decision Support ◽  
Decision Support Systems ◽  
Support Systems ◽  
Multiple Attribute Decision Making ◽  
Multiple Attribute ◽  
Simple Additive Weighting

Tenaga Kependidikan merupakan anggota masyarakat yang mengabdikan diri dan diangkat untuk menunjang penyelenggaraan pendidikan. Decision Support Systems atau lebih dikenal dengan Sistem Pendukung Keputusan adalah bagian dari sebuah sistem informasi yang berbasis komputer termasuk sistem yang berbasis ilmu pengetahuan dan dipakai untuk mendukung pengambil  keputusan dalam suatu organisasi atau perusahaan. untuk memudahkan pimpinan dalam mengambil sebuah keputusan dibuatlah suatu sistem pengambil keputusan dengan menggunakan Fuzzy Multiple Attribute Decision Making  (FMADM) digunakan untuk mencari alternatif optimalkan dari sejumlah alternatif dengan kriteria tertentu, sedangkan metode Simple Additive Weighting (SAW). Metode SAW sering juga dikenal istilah metode penjumlahan terbobot. Konsep dasar metode SAW adalah mencari penjumlahan terbobot dari rating kinerja pada setiap alternatif dari semua atribut.

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