Soft matrices

We can not successfully use classical method to solve complicated problem in economics, engineering and environment because of various uncertainties typical for those problems. There are theories, viz. theory of probability, theory of fuzzy sets (Zadeh, 1965), theory of intuitionistic fuzzy sets (Atanassov, 1986), theory of vague set (Gau and Buehrer, 1993), theory of interval mathematics (Moore, 1996) and theory of rough sets (Pawlak, 1982) which can be consider as mathematical tools for dealing with uncertainties. But all these theories have their own difficulties. The reason of the difficulties is, possibly, the inadequacy of the parametrization tool of the theories. To overcome these difficulties Molodtsov (1999) introduced the concept of soft set as a new mathematical tool for dealing with uncertainties which is free from the difficulties that have troubled the usual theoretical approaches. Molodtsov successfully applied the soft theory into several directions, such as smoothness of functions, game theory, operations research, Riemann integration, Perron integration, theory of probability, theory of measurement and so on. At present, works on the soft set theory are progressing rapidly. Maji et al. (2002) described the application of soft set theory to a decision making problem. They also

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