A new approach for testing fuzzy hypotheses based on fuzzy data

Abstract

A new approach for testing fuzzy hypotheses based on fuzzy data is introduced. According to the proposed approach, a method is first developed based on the defined fuzzy point estimation, which are then used to make a procedure for testing fuzzy hypotheses. This approach has been used to test simple, one-sided and two-sided fuzzy hypotheses. Two new criteria, called degree of acceptance (DA) and degree of rejection (DR), have been proposed to evaluate the test result. The application of the proposed method to lifetime testing is studied.

Keywords:

• Degree of acceptance (DA)
• Degree of rejection (DR)
• Fuzzy confidence interval
• Fuzzy hypothesis
• Testing hypothesis
• Computing with words