International Journal of Statistics and Reliability Engineering

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Vol 9, No 2:

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Testing of Fuzzy Hypothesis Using Fuzzy Data Under Fuzzy Environment Based On Left And Right Areas of Fuzzy Number

Abstract

An approach for testing of crisp and fuzzy hypotheses is proposed for the natural fuzzy observations. The fuzzy test statistic based on crisp/ fuzzy hypotheses and fuzzy data is computed. Subsequently, based on right and left area of triangular fuzzy number, we introduce a new decision rule for comparing the fuzzy test statistic and the proposed fuzzified value of - quantile of the distribution of the crisp test statistic. The proposed approach is employed for testing mean (with known variance) and variance of normal distribution and difference between means (with known variance) and ratio of variances of two normal distributions. A few examples are given to illustrate the applicability of the proposed approach for its clarification

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ISSN(P) 2350-0174

ISSN(O) 2456-2378

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