Prospects for soft statistical computing: describing data and inferring from data with words in the Human Sciences

Niskanen, Vesa A.

doi:10.1016/s0020-0255(01)00060-3

Cited by 9 publications

(2 citation statements)

References 27 publications

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“…Using the fuzzy data sample, the fuzzy tests of hypotheses were discussed in Grzegorzewski (2000) and Watanabe and Imaizumi (1993). Niskanen (2001) studied statistical hypotheses in fields of human sciences. Wu (2005) developed hypotheses tests for fuzzy data using optimistic and pessimistic approach.…”

Section: Introductionmentioning

confidence: 99%

Tests of Statistical Hypotheses with Respect to a Fuzzy Set

Pandian¹,

Kalpanapriya²

2013

MAS

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Tests of statistical hypotheses with crisp data using small samples are extended to with membership function of the fuzzy sets. The t-test statistic and the F-test statistic with respect to fuzzy sets are defined using the membership grades of the fuzzy sets. The rules for taking decision about the hypotheses are provided. In the proposed tests, the optimistic and pessimistic approach, h-level set,   cut and fuzzy interval are not used. Numerical examples are provided for understanding the proposed testing procedures. The proposed tests of hypotheses may be useful to decision makers who are handling real life problems involving linguistic variables / fuzzy sets for taking suitable decisions in an acceptable manner.

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Section: Introductionmentioning

confidence: 99%

Tests of Statistical Hypotheses with Respect to a Fuzzy Set

Pandian¹,

Kalpanapriya²

2013

MAS

View full text Add to dashboard Cite

show abstract

“…Grzegorzewski [10] and Watanabe and Imaizumi [25] proposed the fuzzy test for hypotheses testing with vague data, and the fuzzy test gave the acceptability of the null and alternative hypotheses. Niskanen [18] discussed the applications of soft statistical hypotheses in the human sciences.…”

Section: Introductionmentioning

confidence: 99%