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.
Highlights
Nowadays we dealt with problems which are complex in nature
In this article we have proposed the notion of interval valued intuitionistic fuzzy soft matrix
An interval valued intuitionistic fuzzy soft matrix corresponds to a interval valued intuitionistic fuzzy soft set of order 1× n i.e. with a single row is called a row-interval valued intuitionistic fuzzy soft matrix
Summary
Nowadays we dealt with problems which are complex in nature. To tackle those problems which we have experienced in our day to day life becomes complex more and more. Based on some of these new matrix operations a new efficient solution technique has been developed to solve interval valued intuitionistic fuzzy soft set based real life decision making problem which may contain more than one decision maker. The novelty of the new approach is that it may solve any interval valued intuitionistic fuzzy soft set based decision making problem involving large number of decision makers very and the computational procedure is very simple. To realize this newly proposed methodology we apply it to predict election results
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