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Computing With Words and Life Data

Grzegorzewski P., Hryniewicz O

International Journal of Applied Mathematics and Computer Science

2002

Vol. 12, no 3

337-345

The problem of statistical inference on the mean lifetime in the presence of vague data is considered. Situations with fuzzy lifetimes and an imprecise number of failures are discussed.

Soft methods in statistical quality control

Grzegorzewski P., Hryniewicz O.

Control and Cybernetics

2000

Vol. 29, no 1

119-140

The paper is devoted to soft methods in statistical quality control. A review of existing tools for dealing with vague data or fuzzy requirements is given. Some new procedures are also proposed.

Statistical inference about the median from vague data

Grzegorzewski P.

Control and Cybernetics

1998

Vol. 27, no 3

447-464

In traditional statistics all parameters of the mathematical model and possible observations should be well defined. Sometimes such assumption appears too rigid for the real-life problems, especially when dealing with imprecise or linguistic data. To relax this rigidity fuzzy methods are incorporated into statistics. This paper is devoted to statistical inference about the population median in the presence of vague data. We propose the notion of fuzzy median. Then we suggest a fuzzy estimator and fuzzy confidence interval for the median. Next we discuss the problem of hypothesis testing concerning the median in the presence of imprecise data. All methods presented are distribution-free.