Journal of Uncertain Systems, Vol5 No1, 2011, World Academic Union (World Academic Press)

نویسندگان

  • Mohsen Arefi
  • S. Mahmoud Taheri
چکیده

This paper deals with the problem of testing hypothesis when both the hypotheses and the available data are fuzzy. First, four different kinds of fuzzy hypotheses are defined. Then, a procedure is developed for constructing the fuzzy point estimation based on fuzzy data. Also, the concept of fuzzy test statistic is defined based on the α-cuts of the fuzzy null hypothesis and the α-cuts of the constructed fuzzy point estimation. Finally, by introducing a credit level, we propose a method to evaluate the fuzzy hypotheses of interest. The proposed method is employed to test the fuzzy hypotheses for the mean of a normal distribution, and the variance of a normal distribution. A practical example in lifetime testing is provided, to show the applicability of the proposed method in applied studies. c ©2011 World Academic Press, UK. All rights reserved.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Journal of Uncertain Systems, Vol5 No1, 2011, World Academic Union (World Academic Press)

Multi Period–Multi Product (MPMP) production planning problems are well-known in the literature and several researches had been carried out in this area. However, designing a well organized control mechanism in terms of time– cost point of views had not been taken into considerations. In this paper, such a control mechanism is implemented successfully using earned value analysis which is well-k...

متن کامل

Journal of Uncertain Systems, Vol5 No2, 2011, May, World Academic Union (World Academic Press)

Physicists usually assume that events with a very small probability cannot occur. Kolmogorov complexity formalizes this idea for non-quantum events. We show how this formalization can be extended to quantum events as well. c ©2011 World Academic Press, UK. All rights reserved.

متن کامل

Journal of Uncertain Systems, Vol5 No1, 2011, World Academic Union (World Academic Press)

This paper deals with rough set approach on lattice theory. We represent the lattices for rough sets determined by an equivalence relation. Without any loss of generality, we have defined the rough set as a pair of sets (lower approximation set, upper approximation set) and then we showed that the collection of all rough sets of an approximations by an equivalence relation form a lattice by som...

متن کامل

Journal of Uncertain Systems, Vol5 No3, 2011, August, World Academic Union (World Academic Press)

Type-2 (T2) fuzzy variable is an extension of an ordinary fuzzy variable. In fuzzy possibility theory, T2 fuzzy variable is defined as a measurable map from the universe to the set of real numbers, and the possibility of a T2 fuzzy variable takes on a real number is a regular fuzzy variable (RFV). T2 fuzziness, which is usually used to handle linguistic uncertainties, can be described as T2 fuz...

متن کامل

Journal of Uncertain Systems, Vol5 No3, 2011, August, World Academic Union (World Academic Press)

This paper presents availability computation procedure of a semi-Markovian mechatronic system under the uncertainties that involve randomness as well as fuzziness. Conversion of semi-Markov to Markov model is stated first and hybrid approach is then used for fuzzy availability computation. Sometimes statistical data is available about failure and repair rates, but in cases where such data is sc...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2011