Unknown Values Estimation in Fuzzy Soft and Interval valued Fuzzy Soft Matrices

What is it about?

In the present communication, a data filling approach to estimate unknown values in fuzzy soft and interval-valued fuzzy soft matrices is described and its application in numerical problems is illustrated. In section 2, some basic concepts used in the development of the paper were defined with examples. In section 3, an algorithm for unknown values estimation for a fuzzy soft matrix is proposed and illustrated with an example. In section 4, the application of fuzzy soft matrix in data dimension reduction is explained. An algorithm is proposed in section 5 for estimation of unknown values in an incomplete interval-valued fuzzy soft matrix and solved a numerical problem for illustration. A decision making method is also described by using of interval-valued fuzzy soft matrix in section 6. Discussion and conclusion are given in section 7 and the references are enumerated at the end of the paper.

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Why is it important?

In day to day problems, incomplete information due to unknown values in data is the cause of the loss of information which leads to uncertainly, ambiguity and vagueness. There are many reasons for unknown values in data, like errors in data collection, lack of data information, inappropriate technique and illegibility of data which cause incompleteness in data. Thus, to estimate the unknown values in data of various information systems is an important area of research.

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