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Using a set of confidence intervals, we develop a common approach, to construct a fuzzy set as an estimator for unknown parameters in statistical models. We investigate a method to derive the explicit and unique membership function of such fuzzy estimators. The proposed method has been used to derive the fuzzy estimators of the parameters of a Normal… (More)

Fuzzy process capability indices are used to determine whether a production process is capable of producing items within specification tolerance, where instead of precise quality we have two membership functions for specification limits. In practice these indices are estimated using sample data and it is of interest to obtain confidence limits for fuzzy… (More)

Capability indices compare the actual performance of a manufacturing process to the desired performance. In practice these indices are estimated using sample data, often with quite small sample sizes. Thus, it is of interest to obtain confidence limits for actual capability index given a sample estimate. Most of the traditional methods for assessing the… (More)

- Mina Mirhoseini, M. Mashinchi, Hossien Nezamabadi-pour
- 2015

In this paper, some methods of similarity measures between objects are presented and their properties are reviewed. The study is conducted to propose a new method based on genetic algorithm in order to reduce the time complexity of finding n most similar objects among the huge number of objects. This method is tested on two applications. The first one aims… (More)

- R. Amirzadeh, Abbas Parchami, M. Mashinchi
- 2008 4th International IEEE Conference…
- 2008

In this paper, using a family of confidence intervals, we construct a triangular shaped fuzzy number as the estimator for mean lifetime as well as the estimator for reliability function of a component. We derive the explicit and unique membership functions of these fuzzy estimators. Our attention is on the case where the lifetime has an exponential… (More)

Fuzzy linear programming problems can be used to model a wide variety of practical applications in which all or some decision parameters are stated in an imprecise fashion. These problems have been investigated and expanded by many researchers from various points of view. In this paper, we study a class of in nite-dimensional linear programming problems,… (More)

- Rajab Ali Borzooei, M. Bakhshi, M. Mashinchi
- Soft Comput.
- 2008

This paper is based on a major research project on the development of a novel design of proportional integral derivative (PID) controller for nonlinear systems. The proposed design has superior features, including easy implementation, stable and fast convergence characteristic , and good computational efficiency.

In this paper, we solve an open problem in an special case. The problem is to give a characterization for Heyting algebras by means of fractions. Here, we give a representation for a class of Heyting algebras by means of fractions. Fractions on a bounded distributive lattice is a new algebraic structure, which was recently studied by the authors.… (More)

In the real world there are many linear programming problems where all decision parameters are fuzzy numbers. Several approaches exist which use different ranking functions for solving these problems. Unfortunately when there exist alternative optimal solutions, usually with different fuzzy value of the objective function for these solutions, these methods… (More)