An intuitionistic fuzzy $$(\delta , \gamma )$$ ( δ , γ ) -norm entropy with its application in supplier selection problem

An intuitionistic fuzzy $$(\delta , \gamma )$$ ( δ , γ ) -norm entropy with its... Comp. Appl. Math. https://doi.org/10.1007/s40314-018-0656-9 An intuitionistic fuzzy (δ, γ )-norm entropy with its application in supplier selection problem 1 1 Rajesh Joshi · Satish Kumar Received: 24 December 2017 / Revised: 20 April 2018 / Accepted: 23 May 2018 © SBMAC - Sociedade Brasileira de Matemática Aplicada e Computacional 2018 Abstract In this communication, based on the concept of (δ, γ )-norm entropy, an (δ, γ )- norm intuitionistic fuzzy entropy measure is introduced in the settings of intuitionistic fuzzy set theory. Some of its major properties are also proved. The performance of the proposed entropy measure is demonstrated using numerical examples. Based on the proposed intu- itionistic fuzzy (IF) entropy, a new multiple-attribute decision-making method (MADM) considering the merits of subjective and objective weights has been introduced. Two meth- ods of finding the weights of attributes are discussed. The proposed MADM method is effectively explained with the help of supplier selection example. Keywords δ-Norm entropy · (δ, γ )-Norm entropy · Intuitionistic fuzzy entropy · Multi-attribute decision-making · VIKOR Mathematics Subject Classifications 94A15 · 94A24 · 26D15 1 Introduction Discovery of fuzzy set (FS) by Zadeh (1965) attracted the researchers worldwide. Before this invention, probability was the only http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Computational and Applied Mathematics Springer Journals

An intuitionistic fuzzy $$(\delta , \gamma )$$ ( δ , γ ) -norm entropy with its application in supplier selection problem

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Publisher
Springer Journals
Copyright
Copyright © 2018 by SBMAC - Sociedade Brasileira de Matemática Aplicada e Computacional
Subject
Mathematics; Applications of Mathematics; Computational Mathematics and Numerical Analysis; Mathematical Applications in the Physical Sciences; Mathematical Applications in Computer Science
ISSN
0101-8205
eISSN
1807-0302
D.O.I.
10.1007/s40314-018-0656-9
Publisher site
See Article on Publisher Site

Abstract

Comp. Appl. Math. https://doi.org/10.1007/s40314-018-0656-9 An intuitionistic fuzzy (δ, γ )-norm entropy with its application in supplier selection problem 1 1 Rajesh Joshi · Satish Kumar Received: 24 December 2017 / Revised: 20 April 2018 / Accepted: 23 May 2018 © SBMAC - Sociedade Brasileira de Matemática Aplicada e Computacional 2018 Abstract In this communication, based on the concept of (δ, γ )-norm entropy, an (δ, γ )- norm intuitionistic fuzzy entropy measure is introduced in the settings of intuitionistic fuzzy set theory. Some of its major properties are also proved. The performance of the proposed entropy measure is demonstrated using numerical examples. Based on the proposed intu- itionistic fuzzy (IF) entropy, a new multiple-attribute decision-making method (MADM) considering the merits of subjective and objective weights has been introduced. Two meth- ods of finding the weights of attributes are discussed. The proposed MADM method is effectively explained with the help of supplier selection example. Keywords δ-Norm entropy · (δ, γ )-Norm entropy · Intuitionistic fuzzy entropy · Multi-attribute decision-making · VIKOR Mathematics Subject Classifications 94A15 · 94A24 · 26D15 1 Introduction Discovery of fuzzy set (FS) by Zadeh (1965) attracted the researchers worldwide. Before this invention, probability was the only

Journal

Computational and Applied MathematicsSpringer Journals

Published: May 30, 2018

References

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