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This paper presents the preliminary work of an approach where Fuzzy Boolean Nets (FBN) are being used to extract qualitative knowledge regarding the effect of prescribed fire burning on soil chemical physical properties. FBN were chosen due to the scarcity on available quantitative data.
The linguistic terms of a linguistic variable classify the numeric values of their universe. In that sense, they are categories which are defined over a space of values. In this work a hierarchical model of a linguistic variable is analyzed from the point of view of the principles of categorization and hierarchy theory. It is shown how several partial orders can be defined over the hierarchical model...
A methodology for construction of models using genuine expressions of natural language, namely the so called evaluative linguistic expressions is presented. A sophisticated formal theory of their meaning provides us a tool with a great application potential. These expressions occur also in conditional clauses of natural language which are gathered into linguistic descriptions, for example, of complex...
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...
In this paper we present a new method to generate interpretable fuzzy systems from training data. A fuzzy system is developed for nonlinear systems modeling and for system state forecasting. The antecedent partition uses triangular sets with 0.5 interpolations avoiding the presence of complex overlapping that happens in other methods. Singleton consequents are employed and least square method is used...
This paper represents the results of investigation establishing a connection of socio-economic factors and adolescents' health in Georgia. Health indicators are extracted from the special anonymous survey on adolescents in Georgia. The socio-economic factors are evaluated by independent experts. Methods based on elements of statistical analysis as well as on similarity relations from fuzzy set theory...
In the past, we proposed a mining algorithm to find suitable membership functions for fuzzy association rules based on the ant colony systems. In that approach, the precision was limited since binary bits were adopted to encode the membership functions. The paper thus extends the original approach for increasing the accuracy of the results by adding multi-level processing. The membership functions...
60 years ago, 1948, Norbert Wiener's Cybernetics or Control and Communication in the Animal and the Machine and ldquoA Mathematical Theory of Communicationrdquo by Claude E. Shannon have been published. However, it is very probable that Shannon's article wouldn't have became famous without the help of Warren Weaver, whose popular text ldquoThe Mathematics of Communicationrdquo re-interpreted Shannon's...
Causal reasoning occupies a central position in human reasoning. In order to algorithmically consider causal relations, the relations must be placed into a representation that supports manipulation. The most widespread causal representation is directed acyclic graphs (DAGs). However, DAGs are severely limited in what portion of the common sense world they can represent. This paper considers the needs...
Extending the idea of computing with words in place of numbers to computing with words in a free, unstructured text, the paper presents the ontological semantics theory, methodology and technology for accessing, formally representing, and computing natural language to achieve a near-human understanding of it. It also demonstrates how ontological semantics handles various types of uncertainty, fuzziness,...
This paper presents the natural extension of Buckley-Feuring method proposed in for solving fuzzy partial differential equations (FPDE) in a nonpolynomial relation, such as the operator phi(Dx1,Dx2), which maps to the quotient between both partials. The new assumptions and conditions proceedings from this consideration given in this document, have been developed for a concrete application: a new method...
The algebra of truth values for fuzzy sets of type-2 consists of all mappings from the unit interval into itself, with operations certain convolutions of these mappings with respect to pointwise max and min. This algebra has been studied rather extensively in the last few years, both from an applications point of view and a theoretical one. Most of the theory goes through when is replaced by any two...
A case is made for the use of a consensus theory measure in the form of the agreement measure to determine the risk associated with a mutual fund. Risk can be important in deciding on a stock purchase, or as a factor in determining how best to manage one's portfolio. The beta associated with each stock is used as the basis for the agreement calculation. The individual Beta's are processed by a clustering...
One of the new directions in current e-government development is to provide personalized online services to citizens and businesses. Recommendation techniques can bring a possible solution for this issue. This study proposes a hybrid recommendation approach to provide personalized government to business (G2B) e-services. The approach integrates fuzzy sets-based semantic similarity and traditional...
In this paper, some researches on distances of interval-valued fuzzy sets are made and some properties of metric space with respect to these distances are discussed.
Monads and their t-algebras have been studied as an important link between categories and universal algebra. Monads of fuzzy sets, that is, monads which are mappings from sets to complete Heyting algebras, have also been studied for some time (see, e.g.,). This paper reviews two important kinds of monads in this category, singleton monads and fuzzy theories. It is shown that fuzzy theories may have...
Designing controllers to reject disturbances, which cannot be accurately measured or estimated, is a challenging problem in real applications where the behaviour of the system is both non-linear and uncertain. Control schemes based on internal model control (IMC) can only be used to reject disturbances in non-linear systems if they do not affect the relationship between the controlled variable and...
Semantic proximity proposed by Liu is an approach to determine fuzzy functional dependencies. However, the approach that utilizes fuzzy values with the form of interval numbers might still have some data out of the range. An extension of semantic proximity with the concept of fuzzy sets at degree alpha set by database designers is presented, giving it a more flexibility in calculating the degree of...
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