A Study on Matrices Using Interval Valued Intuitionistic Fuzzy Soft Set and Its Application in Predicting Election Results in India

Somen Debnath

doi:doi:10.11648/j.dmath.20190401.12

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A Study on Matrices Using Interval Valued Intuitionistic Fuzzy Soft Set and Its Application in Predicting Election Results in India

Somen Debnath

Published in International Journal of Discrete Mathematics (Volume 4, Issue 1)

Received: 3 February 2019 Accepted: 8 March 2019 Published: 2 April 2019

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Abstract

Nowadays the concept of matrix is used widely in different fields such as engineering, medical, economics, game theory, geology, computer science etc. Matrices are also used in representing the real world data like the population of people, infant mortality rate etc. In economics very large matrices are used for optimization of problems. Matrices play an important role to represent different types of soft set in concise form by which we can easily perform algebraic operations on them. Classical matrices can’t represent all types of uncertainties present in daily life problems. To tackle those problems related to uncertainties fuzzy matrix is introduced in which every member belongs to the unit interval [0, 1]. By combining soft set and fuzzy matrix a new concept fuzzy soft matrix is introduced. Later it has been extended to intuitionistic fuzzy soft matrix, interval-valued fuzzy soft matrix, interval-valued intuitionistic fuzzy soft matrix etc. In this paper we give a brief discussion on different types of interval valued intuitionistic fuzzy soft matrices and apply some new matrix operations on them. Moreover a new methodology has been developed to solve interval valued intuitionistic fuzzy soft set based real life decision making problems which may contain more than one decision maker and put an effort to apply it to a more relevant way in predicting election results in India by using the concept of choice matrix.

Published in	International Journal of Discrete Mathematics (Volume 4, Issue 1)
DOI	10.11648/j.dmath.20190401.12
Page(s)	8-20
Creative Commons	This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.
Copyright	Copyright © The Author(s), 2019. Published by Science Publishing Group

Keywords

Soft Set, Fuzzy Soft Set, Fuzzy Soft Matrix, Intuitionistic Fuzzy Soft Set, Choice Matrix

References

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[8]	D. S. Hooda, R. Kumari, On applications of fuzzy soft sets in dimension reduction and medical diagnosis, Advances in Research, 12(2017), 1-9.
[9]	Y. Jiang, Y. Tang, Q. Chen, H. Liu, J. Tung, Interval -valued intuitionistic fuzzy soft sets and their properties, Computers and Mathematics with Applications, 60(2010), 906-918.
[10]	P. K. Maji, R. Biswas, A. R. Roy, Fuzzy soft sets, J. Fuzzy Mathematics, 9(2001), 589-602.
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Somen Debnath. (2019). A Study on Matrices Using Interval Valued Intuitionistic Fuzzy Soft Set and Its Application in Predicting Election Results in India. International Journal of Discrete Mathematics, 4(1), 8-20. https://doi.org/10.11648/j.dmath.20190401.12

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ACS Style

Somen Debnath. A Study on Matrices Using Interval Valued Intuitionistic Fuzzy Soft Set and Its Application in Predicting Election Results in India. Int. J. Discrete Math. 2019, 4(1), 8-20. doi: 10.11648/j.dmath.20190401.12

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AMA Style

Somen Debnath. A Study on Matrices Using Interval Valued Intuitionistic Fuzzy Soft Set and Its Application in Predicting Election Results in India. Int J Discrete Math. 2019;4(1):8-20. doi: 10.11648/j.dmath.20190401.12

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@article{10.11648/j.dmath.20190401.12,
  author = {Somen Debnath},
  title = {A Study on Matrices Using Interval Valued Intuitionistic Fuzzy Soft Set and Its Application in Predicting Election Results in India},
  journal = {International Journal of Discrete Mathematics},
  volume = {4},
  number = {1},
  pages = {8-20},
  doi = {10.11648/j.dmath.20190401.12},
  url = {https://doi.org/10.11648/j.dmath.20190401.12},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.dmath.20190401.12},
  abstract = {Nowadays the concept of matrix is used widely in different fields such as engineering, medical, economics, game theory, geology, computer science etc. Matrices are also used in representing the real world data like the population of people, infant mortality rate etc. In economics very large matrices are used for optimization of problems. Matrices play an important role to represent different types of soft set in concise form by which we can easily perform algebraic operations on them. Classical matrices can’t represent all types of uncertainties present in daily life problems. To tackle those problems related to uncertainties fuzzy matrix is introduced in which every member belongs to the unit interval [0, 1]. By combining soft set and fuzzy matrix a new concept fuzzy soft matrix is introduced. Later it has been extended to intuitionistic fuzzy soft matrix, interval-valued fuzzy soft matrix, interval-valued intuitionistic fuzzy soft matrix etc. In this paper we give a brief discussion on different types of interval valued intuitionistic fuzzy soft matrices and apply some new matrix operations on them. Moreover a new methodology has been developed to solve interval valued intuitionistic fuzzy soft set based real life decision making problems which may contain more than one decision maker and put an effort to apply it to a more relevant way in predicting election results in India by using the concept of choice matrix.},
 year = {2019}
}

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TY  - JOUR
T1  - A Study on Matrices Using Interval Valued Intuitionistic Fuzzy Soft Set and Its Application in Predicting Election Results in India
AU  - Somen Debnath
Y1  - 2019/04/02
PY  - 2019
N1  - https://doi.org/10.11648/j.dmath.20190401.12
DO  - 10.11648/j.dmath.20190401.12
T2  - International Journal of Discrete Mathematics
JF  - International Journal of Discrete Mathematics
JO  - International Journal of Discrete Mathematics
SP  - 8
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PB  - Science Publishing Group
SN  - 2578-9252
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AB  - Nowadays the concept of matrix is used widely in different fields such as engineering, medical, economics, game theory, geology, computer science etc. Matrices are also used in representing the real world data like the population of people, infant mortality rate etc. In economics very large matrices are used for optimization of problems. Matrices play an important role to represent different types of soft set in concise form by which we can easily perform algebraic operations on them. Classical matrices can’t represent all types of uncertainties present in daily life problems. To tackle those problems related to uncertainties fuzzy matrix is introduced in which every member belongs to the unit interval [0, 1]. By combining soft set and fuzzy matrix a new concept fuzzy soft matrix is introduced. Later it has been extended to intuitionistic fuzzy soft matrix, interval-valued fuzzy soft matrix, interval-valued intuitionistic fuzzy soft matrix etc. In this paper we give a brief discussion on different types of interval valued intuitionistic fuzzy soft matrices and apply some new matrix operations on them. Moreover a new methodology has been developed to solve interval valued intuitionistic fuzzy soft set based real life decision making problems which may contain more than one decision maker and put an effort to apply it to a more relevant way in predicting election results in India by using the concept of choice matrix.
VL  - 4
IS  - 1
ER  -

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Author Information

Somen Debnath

Department of Mathematics, Tripura University, Suryamaninagar, Agartala, India

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APA Style

Somen Debnath. (2019). A Study on Matrices Using Interval Valued Intuitionistic Fuzzy Soft Set and Its Application in Predicting Election Results in India. International Journal of Discrete Mathematics, 4(1), 8-20. https://doi.org/10.11648/j.dmath.20190401.12

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ACS Style

Somen Debnath. A Study on Matrices Using Interval Valued Intuitionistic Fuzzy Soft Set and Its Application in Predicting Election Results in India. Int. J. Discrete Math. 2019, 4(1), 8-20. doi: 10.11648/j.dmath.20190401.12

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AMA Style

Somen Debnath. A Study on Matrices Using Interval Valued Intuitionistic Fuzzy Soft Set and Its Application in Predicting Election Results in India. Int J Discrete Math. 2019;4(1):8-20. doi: 10.11648/j.dmath.20190401.12

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@article{10.11648/j.dmath.20190401.12,
  author = {Somen Debnath},
  title = {A Study on Matrices Using Interval Valued Intuitionistic Fuzzy Soft Set and Its Application in Predicting Election Results in India},
  journal = {International Journal of Discrete Mathematics},
  volume = {4},
  number = {1},
  pages = {8-20},
  doi = {10.11648/j.dmath.20190401.12},
  url = {https://doi.org/10.11648/j.dmath.20190401.12},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.dmath.20190401.12},
  abstract = {Nowadays the concept of matrix is used widely in different fields such as engineering, medical, economics, game theory, geology, computer science etc. Matrices are also used in representing the real world data like the population of people, infant mortality rate etc. In economics very large matrices are used for optimization of problems. Matrices play an important role to represent different types of soft set in concise form by which we can easily perform algebraic operations on them. Classical matrices can’t represent all types of uncertainties present in daily life problems. To tackle those problems related to uncertainties fuzzy matrix is introduced in which every member belongs to the unit interval [0, 1]. By combining soft set and fuzzy matrix a new concept fuzzy soft matrix is introduced. Later it has been extended to intuitionistic fuzzy soft matrix, interval-valued fuzzy soft matrix, interval-valued intuitionistic fuzzy soft matrix etc. In this paper we give a brief discussion on different types of interval valued intuitionistic fuzzy soft matrices and apply some new matrix operations on them. Moreover a new methodology has been developed to solve interval valued intuitionistic fuzzy soft set based real life decision making problems which may contain more than one decision maker and put an effort to apply it to a more relevant way in predicting election results in India by using the concept of choice matrix.},
 year = {2019}
}

Copy | Download

TY  - JOUR
T1  - A Study on Matrices Using Interval Valued Intuitionistic Fuzzy Soft Set and Its Application in Predicting Election Results in India
AU  - Somen Debnath
Y1  - 2019/04/02
PY  - 2019
N1  - https://doi.org/10.11648/j.dmath.20190401.12
DO  - 10.11648/j.dmath.20190401.12
T2  - International Journal of Discrete Mathematics
JF  - International Journal of Discrete Mathematics
JO  - International Journal of Discrete Mathematics
SP  - 8
EP  - 20
PB  - Science Publishing Group
SN  - 2578-9252
UR  - https://doi.org/10.11648/j.dmath.20190401.12
AB  - Nowadays the concept of matrix is used widely in different fields such as engineering, medical, economics, game theory, geology, computer science etc. Matrices are also used in representing the real world data like the population of people, infant mortality rate etc. In economics very large matrices are used for optimization of problems. Matrices play an important role to represent different types of soft set in concise form by which we can easily perform algebraic operations on them. Classical matrices can’t represent all types of uncertainties present in daily life problems. To tackle those problems related to uncertainties fuzzy matrix is introduced in which every member belongs to the unit interval [0, 1]. By combining soft set and fuzzy matrix a new concept fuzzy soft matrix is introduced. Later it has been extended to intuitionistic fuzzy soft matrix, interval-valued fuzzy soft matrix, interval-valued intuitionistic fuzzy soft matrix etc. In this paper we give a brief discussion on different types of interval valued intuitionistic fuzzy soft matrices and apply some new matrix operations on them. Moreover a new methodology has been developed to solve interval valued intuitionistic fuzzy soft set based real life decision making problems which may contain more than one decision maker and put an effort to apply it to a more relevant way in predicting election results in India by using the concept of choice matrix.
VL  - 4
IS  - 1
ER  -

Copy | Download