In this paper we study about the higher order fuzzy sets specially about intuitionistic fuzzy sets (or vague sets).

the classical control charts by using precise and specified data divide the production process into two groups: in-control or out of control, while the fuzzy sets with the definition continuous and cohesive membership functions and also using ambiguous and vague fuzzy numbers (triangular and trapezoid), it introduces different levels of decisions for the decision makers. in this paper, using th...

The aim of this paper is to give a. sketch of a foundation of statistical analysis with fuzzy data, extending the methodology of Mathematical Stat,istics. For t.his purpose it will be discussed to equip the fuzzy sample spaces with suitable a-algebras and metrics. As the main application the parameter estimation in linear regression models with crisp parameters und fuzzy-valued variables will b...

agility metrics are difficult to define in general, mainly due to the multidimensionality and vagueness of the concept of agility itself. in this paper, a knowledge-based framework is proposed for the measurement and assessment of public sector agility using the a.t.kearney model. fuzzy logic provides a useful tool for dealing with decisions in which the phenomena are imprecise and vague. in th...

Abstract: In conventional reliability analysis, the failure probabilities of the components of a system are treated as exact values. It is often difficult to obtain data for failure probabilities under changing environmental conditions. Hence fuzzy sets are used to analyze the fuzzy system reliability, where a fuzzy number represents the reliability of each component. Chen [14] analyzed the fuz...

A generic format for adaptive vague logics is presented. The concrete adaptive vague logics based on this format are able to (1) identify sentences as vague or non-vague in the context of a given set of premisses, and to (2) dynamically adjust the possible set of inferences in accordance with these identifications, i.e. vague sentences can only make use of vague inference rules, sentences conte...

Existing similarity measures between intuitionistic fuzzy sets/vague sets are analyzed, compared and summarized by their counterintuitive examples in pattern recognition. The positive aspects of each similarity measure are demonstrated, along with counter cases and discussion of the conditions under which each may not work as desired. The research presented here could benefit selection and appl...

Reliability modeling is the most important discipline of reliable engineering. A new method for analyzing fuzzy system reliability using vague set theory is demonstrated, where the reliabilities of the components of a system are represented by vague sets defined in the universe of discourse [0, 1]. The proposed method can model and analyze the fuzzy system reliability in a more flexible and mor...