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2019 | OriginalPaper | Chapter

Intercriteria Analysis and Arithmetic Functions

Authors : K T Atanassov, Vassia Atanassova, Panagiotis Chountas

Published in: Intuitionistic Fuzziness and Other Intelligent Theories and Their Applications

Publisher: Springer International Publishing

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Abstract

The possibility to apply the intercriteria analysis over normalized data is discussed. An example, related to evaluation of six arithmetic functions, is given.

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next chapter Fuzzy Harmony Search Algorithm Using an Interval Type-2 Fuzzy Logic Applied to Benchmark Mathematical Functions
Literature
1.
Atanassov, K., Index Matrices: Towards an Augmented Matrix Calculus, Springer, Cham, 2014.
2.
Atanassov K., D. Mavrov, V. Atanassova. Intercriteria Decision Making: A New Approach for Multicriteria Decision Making, Based on Index Matrices and Intuitionistic Fuzzy Sets. Issues in Intuitionistic Fuzzy Sets and Generalized Nets, Vol. 11, 2014, 1–8.
3.
Atanassov, K., E. Szmidt, J. Kacprzyk, On intuitionistic fuzzy pairs, Notes on Intuitionistic Fuzzy Sets, Vol. 19, 2013, No. 3, 1–13.
4.
Atanassov, K., On Intuitionistic Fuzzy Sets Theory, Springer, Berlin, 2012.
5.
Atanassov, K., V. Atanassova, P. Chountas, M. Mitkova, E. Sotirova, S. Sotirov, D. Stratiev, Intercriteria analysis over normalized data. In: Proceedings of the 8th IEEE Conference Intelligent Systems, Sofia, 46 September 2016, 136–138.
6.
Atanassov, K., V. Atanassova, G. Gluhchev, InterCriteria Analysis: Ideas and problems. Notes on Intuitionistic Fuzzy Sets, Vol. 21, 2015, No. 1, 81–88.
7.
Sándor, J., D.S. Mitrinovic, B. Crstici. Handbook of number theory, Vol. I, Springer, Dordrecht, 2006.
8.
Nagell T. Introduction to number theory, John Wiley & Sons, New York, 1950.
9.
Atanassov K., New integer functions, related to and functions, Bull. of Number Theory and Related Topics Vol. XI (1987), No. 1, 3–26.
10.
Atanassov K. On an arithmetic function. Advanced Studies on Contemporary Mathematics, Vol. 8, 2004, No. 2, 177–182.
11.
Atanassov, K. A remark on an arithmetic function. Part 2. Notes on Number Theory and Discrete Mathematics, Vol. 15, 2009, No. 3, 21–22.
12.
Atanassov, K. Note on \(\varphi \), \(\psi \) and \(\sigma \)-functions. Part 2. Notes on Number Theory and Discrete Mathematics, Vol. 16, 2010, No. 3, 25–28.
Metadata
Title
Intercriteria Analysis and Arithmetic Functions
Authors
K T Atanassov
Vassia Atanassova
Panagiotis Chountas
Copyright Year
2019
Book
Intuitionistic Fuzziness and Other Intelligent Theories and Their Applications

Print ISBN: 978-3-319-78930-9

Electronic ISBN: 978-3-319-78931-6

Copyright Year: 2019

DOI
https://doi.org/10.1007/978-3-319-78931-6_1

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