Abstract
The aim of this paper is to find multi criteria decision making problems to a selected project using intuitionistic fuzzy soft matrix based on generalized operators of t-norm and t-conorm. We use the concept of level operators of intuitionistic fuzzy sets ( K.T.Atanassov, On intuitionistic fuzzy sets theory , Springer - Verlag 2012 ) to define intuitionistic fuzzy soft level matrix. Finally, we give an application of decision making problem by using the operators of t-norm and t-conorm . intuitionistic fuzzy parameterized soft sets. They have also applied to the problems that contain uncertainties based on intuitionistic fuzzy parameterized soft sets. Chetia and Das (5) defined five types of products of intuitionistic fuzzy soft matrices . Babitha and John(11) described generalized intuitionistic fuzzy soft sets and solved multi criteria decision making problem in generalized intuitionistic fuzzy soft sets . Rajarajeswari and Dhanalakshmi(10) described intuitionistic fuzzy soft matrix with some traditional operations. In this paper , we will propose definition of intuitionistic fuzzy soft level matrix . We will also discuss their properties . Finally we will give an application of multi criteria decision making based on t- norm and t-conorm operators.
Highlights
Most of our traditional tools for formal modeling, reasoning, and computing are crisp, deterministic, and precise in character
In real life, there are many complicated problems in engineering, economics, environment, social sciences, medical sciences etc. that involve data which are not all always crisp, precise and deterministic in character because of various uncertainties. Such uncertainties are being dealing with the help of the theories, like theory of probability, fuzzy sets, intuitionistic fuzzy sets, interval mathematics, rough sets etc
Researchers on soft set theory have received much attention in recent years because it is easy to understand and membership is decided by adequate parameters
Summary
Most of our traditional tools for formal modeling, reasoning, and computing are crisp, deterministic, and precise in character. That involve data which are not all always crisp, precise and deterministic in character because of various uncertainties. Such uncertainties are being dealing with the help of the theories, like theory of probability, fuzzy sets, intuitionistic fuzzy sets, interval mathematics , rough sets etc. Maji and Roy [3] first introduced soft set into decision making problems. Maji et al.[6] introduced the concept of fuzzy soft sets by combining soft sets and fuzzy sets. Cagman and Enginoglu [4] defined soft matrices which were a matrix representation of the soft sets and constructed a soft max-min decision making method. Maji et al.[14] introduced the concept of intuitionistic soft sets. Deli and Cagmam[9] introduced
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