This research addresses system reliability analysis using weakest t-norm based approximate intuitionistic fuzzy arithmetic operations, where failure probabilities of all components are represented by different types of intuitionistic fuzzy numbers. Due to the incomplete, imprecise, vague and conflicting information about the component of system, the present study evaluates the reliability of sy...

-Structured Query Language (SQL) is a very powerful too, but it is unable to satisfy needs for data selection based on linguistic expressions and degree of truth. As we know that the information in real-world applications is often vague, imprecise and uncertain. Fuzzy logic breaks the rigid crisp logic boundaries and allows decision to be taken in a more realistic manner. In database context, s...

Fuzziness is not a priori an obvious concept and demands some explanation. “Fuzziness” is what Black (NF 1937) calls “vagueness” when he distinguishes it from “generality” and from “ambiguity.” Generalizing refers to the application of a symbol to a multiplicity of objects in the field of reference, ambiguity to the association of a finite number of alternative meanings having the same phonetic...

Classical consistency degree has some limitations for measuring the consistency of a decision table, in which the lower approximation of a target decision is only taken into consideration. In this paper, we focus on how to measure the consistencies of a target concept and a decision table and the fuzziness of a rough set and a rough decision in rough set theory. For three types of decision tabl...

Green supply chain management (GrSCM) has its roots in supply chain management (SCM) and environmental management. In fact, adding ‘‘green’’ concept into traditional SCM leads to studying environmental impact of SCMrelated processes. Logistics activities which form the main part of SCM-related processes belong to the most influential sources of environmental pollution and greenhouse emissions w...

If sample realizations are intervals, if the upper and the lower boundaries of such intervals are realizations of two independently distributed random variables, the two probability laws together lead to some interesting assertions. In this article, we shall attempt to remove certain confusions regarding the relationship between probability theory and fuzzy mathematics.

During the last few years, many database researchers have aimed their efforts at extending the object-oriented model for dealing with different kinds of imperfect information. Some of these scholars have used the Fuzzy Set Theory to deal with imperfection because it has proved to be useful in problems where imprecision and uncertainty play important roles. This article describes an architecture...

In the present paper we develop a stochastic (Markov chain) model for a mathematical description of the decision making (DM) process and we apply principles of fuzzy logic (FL) in representing the DM process in a fuzzy environment. Further, we develop an innovative approach for studying the step of verification of a chosen decision, which is based on principles of FL (a special form of the COG ...