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The category theory based model (8th GrC Model) has been proposed as the ldquofinalrdquo GrC Model. This paper is to discuss its specialization into the category of qualitative fuzzy sets. Here are the main points: 1) Let Col be the collection of real world fuzzy sets on U, where U is a crisp set. 2) Let V be the type I fuzzy sets of col. Namely, V, denoted by MF(U), is the set of all membership functions...
We develop a possibility based model with the aim of helping firms to deal with difficult-to- predict catastrophic failures. Our study is motivated by the recent economic turmoil and recent large financial firm failures. Our results suggest that specialization is an alternative to portfolio diversification in predicting catastrophic events.
Terrorist acts are intentional and therefore differ significantly from "dumb" random acts that are the subject of most risk analyses. There is significant epistemic (state of knowledge) uncertainty associated with such intentional acts, especially for the likelihood of specific attack scenarios. Also, many of the variables of concern are not numeric and should be treated as purely linguistic...
Various approaches have been proposed to perform concept approximation using a concept lattice developed from a formal context. This paper reviews several of these approaches and examines the relationships among them. Since concept approximation is also strongly related to determining the similarity between concepts within a concept lattice, a variety of methods for measuring concept similarity are...
Intuitionistic fuzzy set (IFS) is the first major attempt to capture both membership as well as the nonmembership in a comprehensive way. The currently available operators of IFS, at the very least, cannot be used for of knowledge consolidation. In this paper the consolidation operator for IFS has been introduced.
Whether a rule-based fuzzy system has the ability to approximate any multivariate continuous function arbitrarily well is an important issue, especially for fuzzy control and fuzzy modeling. The answer to this issue concerning various Mamdani and Takagi-Sugeno (TS) fuzzy systems employing type-1 fuzzy sets is affirmative and well documented in the literature. As for type-2 (T2) fuzzy systems, the...
In this paper, an effort has been taken by the authors to introduce the contrast intensification operator for intuitionistic fuzzy sets of root type to process the gray and colour image by enhancing its clarity and quality through Java language. Also comparison is made between the existing Fuzzy Set, intuitionistic fuzzy sets, intuitionistic fuzzy sets of second type and intuitionstic fuzzy sets of...
Vertical take off and landing aircrafts have been the subject of research for many years. The Boeing CV-22 Osprey is one such aircraft. Takeoff and landing phases of these aircrafts create very challenging control problems. Having two massive engines at the wingtips of the airplane creates an inherently unstable system. Added to this challenge is an inherent delay in pilot demand for engine thrust...
This paper focuses on statistical independence of multiple variables from the viewpoint of linear algebra. While information granules of statistical independence of two variables can be viewed as determinants of 2 times 2- submatrices, those of three variables consist of several combination s of determinants. However, this combination can be viewed as a linear sum over the all combinarial pairs of...
Conventionally, informal communication is said to be contingent. However, it is naturally acknowledged that such a communication may also be intentional, thus may not be entirely contingent. Meanwhile, importance of computational support to informal communication has been put forward, and the concept of awareness has been widely studied. Following such trend, we study on triggers of informal communication...
There have been a large amount of research on topic tracking and detecting bursts in topics. However, there has been little research on predicting bursts in the future. We propose a method for predicting bursts of threads in a Bulletin Board System (BBS) using a kind of user. We call the kind of the user a ldquoconnoisseurrdquo. A connoisseur is a user who comments early in a thread which will burst...
Living systems are dynamic. They efficiently adapt to constantly changing conditions. The human nervous system perceives complex sensory input and produces an appropriate response. One goal of machine automation is to produce a similar adaptive response. Methods: We sought to represent the dynamic of the adaptive response in fuzzy space time. We hypothesize that perception and response are captured...
A metasearch engines is a tool that can be used to query multiple search engines in parallel. Functionally a metasearch engine passes the user query to multiple search engines, retrieves result lists of documents from them in response and then merges the result lists into one result list for the user. A key function of metasearch engines is to merge results returned by multiple search engines. Here...
In this paper we examine issues involving measures of creativity for attribute data generalization using hierarchies. In particular we consider consensus and specificity measures for the partitions that result using crisp concept hierarchies. We note that fuzzy hierarchies do not produce partitions of data in general so some approaches to considering degrees of partitioning is described.
The paper presents three methods developed to assess rating points of objects and groups of objects with qualitative characteristics. The first method allows to transform the elements of a verbal (order-type) scale into fuzzy numbers instead of traditional scores. The membership functions of these numbers depend on results of qualitative characteristic assessment for this group of objects. So we can...
We propose a new solution to a ranking oriented multi-criteria decision making problem for the alternatives expressed via Atanassov's intuitionistic fuzzy sets (A-IFSs, for short). We show that the new solution better fulfills our expectations than methods proposed in the literature which fail in some situations.
An application of fuzzy dynamic integrated judgment in cotton allocation can be found in Zhao, Peng, and Cheng. Often applications in which the fuzzy integrated judgment has been successfully used were turned out to be quite effective. How to decide a fuzzy weight set is an inverse operation of fuzzy integrated judgment. Nonetheless, the fuzzy weight set that stands for the experience and the technology...
The growth in number of fuzzy logic applications led to the need of finding efficient ways to implement them. The advantage of using field programmable gate arrays (FPGA) is the ease with which controllers can be re-designed based on requirements without incurring major non recurring engineering (NRE) costs. In this paper, the implementation of a Mamdani fuzzy inference system has been demonstrated...
In this paper, we derive sufficient conditions under which the single-input single-output fuzzy system is bounded by linear functions in its output. If the fuzzy system is constructed with the complete and consistent fuzzy sets with trapezoid membership functions, we show that the derived conditions are simply the constraints on the consequent part parameters. Then we prove that any continuously differentiable...
In this paper, we present a fuzzy logic based adaptive algorithm with a learning mechanism that estimates driver's long term and short term preferences. The algorithm represents a significant advancement to the capability of our previous non-adaptive real-time fuel economy advisory system that was implemented in a Ford Escape Hybrid [8][9]. This real-time advisory system proposed in [8][9]achieved...
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