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Human always conceptualizes the world at different granularities and deals with it hierarchically. This is one of human's characteristics that underlie his/her power. The quotient space model that we presented is a mathematical model of human multi-granular problem solving. In the paper, we introduce the model and discuss how to use the model to deal with the granularity relation, hierarchical problem...
As the main resources for the development of universities, job performance of College teachers directly affect the development level of universities teaching and research, but their influencing factors of college teacher performance are numerous, certain, uncertain and fuzzy. Therefore, it is particularly important to establish a scientific and reasonable comprehensive evaluation model of college...
This paper firstly introduces the basic concept of covering algorithm and kernel covering algorithm (KCA) adopting kernel function, then analyzes the influence of proximity principle used to judge rejection points on classifier's effect. FKCA, i.e. Fuzzy Kernel Covering Algorithm, is proposed to improve the performance of classifier. The main improvement of FKCA is the change of radius selection and...
In this study, two new classes of aggregation operators called R-OWGA operators are presented based on OWGA operators and fuzzy measures. Some desired properties of the R-OWGA operators are studied, and the relationship between the R-OWGA and OWGA operators is also investigated.
Energy saving is a long strategic mission and current pressing task. The paper analyzes the situation and problem existing in the supplying and consuming of energy in Jiangsu Province. By studying the guidance idea, meanings and characteristics, it constructs the index system of comprehensive evaluation of Jiangsu Province, adopts the triangle fuzzy number method to make the rank of evaluation, combines...
The problem of non-fragile passive control for a class of uncertain T-S fuzzy systems with time-delay is studied. A sufficient condition for the existence of non-fragile state feedback controller is derived in terms of LMIs. Compared with the existing results, the condition is less conservative. Two kinds of non-fragile controllers are designed to guarantee that the system is passive. At last, two...
Granular computing (GC) as a new field has grown rapidly since the term was proposed. There are two basic concepts underlying GC, i.e., fuzziness/fuzzification and granularity/granulation. Fuzzy set theory is an effective tool to deal with the fuzzification problem. There has been a large number of works on this aspect such as computing with words. The difficulty is in the concept of granulation....
The application of the Sugeno integral is characterized by exponential complexity, which led to some difficulties in practical applications of this aggregation method. In this paper, new types of Sugeno integrals, namely ordered Sugeno integrals, are defined, and then the properties of ordered Sugeno integrals are analyzed. Ordered Sugeno integrals can reduce complexity of decision making by means...
Concept hierarchies are important in many generalized data mining applications, such as multiple-level fuzzy association rule mining. Usually concept hierarchies are given by domain experts. However, it is extremely difficult and time-consuming for human experts to discover concepts and construct concept hierarchies from the domain. In literature, several representations of concept hierarchy are possible,...
The quotient space theory is indented to study the relationship of transform and that of dependency among the worlds with different grain-size. Compared with other granule computing tools, it has more powerful abilities of representation and absorption. The reason is that structure is introduced in its model. The paper is to study the quotient space theory based on structure. We first introduce some...
In the framework of MAUT (multi-attribute utility theory) > several methods have been proposed to aggregate utility of attributes and represent a decision makers (DM) utility function. Most of them are additive ones and they hypotheses that the decision attributes are independent of each other. But those additive methods can't guarantee to find a utility function which is coherent with the available...
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