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 ...

Many problems in scientific investigation generate nonprecise data incorporating nonstatistical uncertainty. A nonprecise observation of a quantitative variable can be described by a special type of membership function defined on the set of all real numbers called a fuzzy number or a fuzzy interval. A methodology for constructing control charts is proposed when the quality characteristics are v...

Fuzzy subgroups and T -vague groups are interesting fuzzy algebraic structures that have been widely studied. While fuzzy subgroups fuzzify the concept of crisp subgroup, T -vague groups can be identified with quotient groups of a group by a normal fuzzy subgroup and there is a close relation between both structures and T -indistinguishability operators (fuzzy equivalence relations). In this pa...

In this paper, a general expression of the Shapley value for fuzzy games on vague sets is proposed, where the player participation levels are vague sets. The existence and uniqueness of the given Shapley value are showed by establishing axiomatic system. When the fuzzy games on vague sets are convex, the given Shapley value is a vague population monotonic allocation function (VPMAF) and an elem...

This paper presents an adaptive Power System Stabilizer (PSS) using an Adaptive Network Based Vague Inference System (ANVIS). An Adaptive Vague Set Based Controller Power System Stabilizer (AVCPSS) has been evaluated. This AVCPSS is capable of providing appropriate stabilization signals over a broad range of operating conditions and disturbances. A Vague Controller (VC) is synthesized by using ...

November 2005 Vol.6 No.2 IEEE Intelligent Informatics Bulletin Abstract--Similarity measure is one of important, effective and widely-used methods in data processing and analysis. As vague set theory has become a promising representation of fuzzy concepts, in this paper we present a similarity measure approach for better understanding the relationship between two vague sets in applications. Com...

The vague sum (product) of a finite number of real numbers and the vague integral multiples (powers) of real numbers based on a perfect vague addition (multiplication) operation are introduced, and some of their fundamental properties are pointed out. Furthermore, some examples are designed to show how they can be practically implemented. Keyword: Fuzzy arithmetic, Vague arithmetic, Vague arith...

In 2001, Hainan Sugarcane Breeding Farm bred identified as BC1 hybrid strains of Erianthus real sugar cane for the first time. Fuzzy comprehensive evaluation method in Reference [1] studied and analyzed two strains of sugar cane major economic traits of Erianthus hybrids BC1 17 to have determined it is the fine lines. Fuzzy comprehensive evaluation method, mainly relying on fuzzy matrix, has a ...

To make the analysis more consistent and logical according to real life situations, in thispaper, the concept of trapezoidal vague set is extended by the idea of trapezoidal vaguesets of type-II. Also we have introduced: definition of trapezoidal vague set of type-IIand arithmetic operations between two trapezoidal vague sets of type-II. Further, a newmethod has been developed f...

Crisp spatial data are geometric features with exact location on the extent and well-known boundaries. On the other hand, vague spatial data are characterized by inaccurate locations or uncertain boundaries. Despite the importance of vague spatial data in spatial applications, few related work indeed implement vague spatial data and they do not define abstract data types to enable the managemen...