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...

One important characteristic of distributed database management systems (DBMS) is that due to network or machine failure the environment may become partitioned into sub-environments that cannot communicate with each other. However, there are various application areas where the individual sub-environments should remain operable even in such situations [2, 5]. In particular queries to the databas...

The notion of fuzzy function based on many-valued equivalence relations (many-valued similarity relations (equalities) [17, 18, 19], fuzzy equivalence relations [4, 6, 7, 21, 22, 26], similarity relations [1, 2, 3, 15, 28], indistinguishability operators [27], etc.) has been introduced by several authors, and applied to category theory [5], approximate reasoning and fuzzy control theory [8, 10,...

Vague information is common in many database applications due to internet-scale data dissemination, such as those data arising from sensor networks and mobile communications. We have formalized the notion of a vague relation in order to model vague data in our previous work. In this paper, we utilize Functional Dependencies (FDs), which are the most fundamental integrity constraints that arise ...

In this paper, we propose a new similarity measure between vague sets and apply vague logic in a relational database environment with the objective of capturing the vagueness of the data. By introducing a new vague Similar Equality (SEQ) for comparing data values, we first generalize the classical Functional Dependencies (FDs) into Vague Functional Dependencies (VFDs). We then present a set of ...

In the area of computer science focusing on creating machines that can engage on behaviors that humans consider intelligent. The ability to create intelligent machines has intrigued humans since ancient times and today with the advent of the computer and 50 years of research into various programming techniques, the dream of smart machines is becoming a reality. Researchers are creating systems ...

In this paper, we present two new methods for evaluating students’ answerscripts based on the similarity measure between vague sets. The vague marks awarded to the answers in the students’ answerscripts are represented by vague sets, where each element ui in the universe of discourse U belonging to a vague set is represented by a vague value. The grade of membership of ui in the vague set à is ...

In order to model the real world with imprecise and uncertain information, various extensions of the classical relational data model have been studied in literature using fuzzy set theory. However, vague set, as a generalized fuzzy set, has more powerful ability to process fuzzy information than fuzzy set. In this paper, we have proposed a vague relational database model and have defined a new ...

A new approach for vague risk analysis based on the ranking of trapezoidal vague sets is proposed. Firstly, a new method for ranking of vague sets is presented. Then, the proposed method is applied to developed a new method for dealing with vague risk analysis problems. This analysis helps us to find out the probability of failure of each components of combustion system, which could be used for...

Current implementations of spatial databases are not capable of handling data that is intrinsically indeterminate or vague. The goal of the Vague Spatial Algebra (VASA) project is to define concepts and implementations that will address this problem. In this paper we further develop work on topological predicates between vague spatial objects. The new developments make use of spatial reasoning ...