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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
Volume 4, Issue 1, June 2019, Pages: 8-20
Received: Feb. 3, 2019; Accepted: Mar. 8, 2019; Published: Apr. 2, 2019
Author
Somen Debnath, Department of Mathematics, Tripura University, Suryamaninagar, Agartala, India
Article Tools Abstract PDF (347KB)
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.
Keywords
Soft Set, Fuzzy Soft Set, Fuzzy Soft Matrix, Intuitionistic Fuzzy Soft Set, Choice Matrix
Somen Debnath, 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. Vol. 4, No. 1, 2019, pp. 8-20. doi: 10.11648/j.dmath.20190401.12
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