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1. A new class of fuzzy implications derived from unary monotonic functions | |||
LIU Huawen | |||
Mathematics 17 March 2014 | |||
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Abstract:By using unary monotonic functions on [0,1] which maybe non-continuous, we introduce a new kind of fuzzy implicationscalled $h-e-$implications, and analyze its basic properties, such asleft neutrality, exchange principle, contraposition and thecontinuity, etc. Several known classes of fuzzy implications derivedfrom unary functions are shown to be the particular cases of$h-e-$implications. It is also shown that the family of$h-e-$implications differs from the well known classes of fuzzyimplications, i.e., (S,N)-, R- and QL-implications. The resultsobtained in this paper will be helpful to improve the operatortheory for approximate reasoning. At the same time, they will alsoenlarge the operator space for intelligent systems. | |||
TO cite this article:LIU Huawen. A new class of fuzzy implications derived from unary monotonic functions[OL].[17 March 2014] http://en.paper.edu.cn/en_releasepaper/content/4590352 |
2. A new fuzzy integral for data mining | |||
Liu Wan-Li,Liu Jin-Bo | |||
Mathematics 04 March 2011 | |||
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Abstract:Any specified fuzzy integral can be used as an aggregation tool ininformation fusion, so introducing more types of integrals willprovide more choices to deal with various types of objectives and components in real problems. This paper aims in defining and investigating a new type of fuzzy integral, called $(T)$ fuzzyintegral based on the concepts of $mathfrak{T}$-norm and$mathfrak{T}$-conorm. For this integral, the integrand, themeasure and the integration result are all multi-valued. Then, some classical results of the integral are obtained。 Moreover,different integration results can be got based on different kinds ofcomponent of multi-valued measure. Here, we will discuss someproperties and theoremsin case the component of multi-valued measure is generalizedfuzzy measure, fuzzy measure and generalized $T$ measure. | |||
TO cite this article:Liu Wan-Li,Liu Jin-Bo. A new fuzzy integral for data mining[OL].[ 4 March 2011] http://en.paper.edu.cn/en_releasepaper/content/4414378 |
3. Based on fuzzy math students eligible for scholarship assessment | |||
Liu Xiaoxu | |||
Mathematics 24 November 2008 | |||
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Abstract:Based on the language of pattern recognition is wider context of applications in the mode of modern management science, such as the choice of personnel, project evaluation, the evaluation of the business, and so on, the model will be able to use natural language statements. According to the human language to describe the model for the establishment of an appropriate mathematical model, so as to solve real-life production, is of great significance. This article is for colleges and universities scholarship eligibility assessment, establishing the fuzzy language model. This language model, according to the students of outstanding quality, and may be eligible to receive scholarships to describe the language discussed the assessment of students eligible for scholarships. Accreditation for colleges and universities to provide a scientific and fair method of assessing the scholarship, was in line with the conclusions of the actual situation. | |||
TO cite this article:Liu Xiaoxu. Based on fuzzy math students eligible for scholarship assessment[OL].[24 November 2008] http://en.paper.edu.cn/en_releasepaper/content/26000 |
4. A new definition of locally convex L-topological vector spaces | |||
Hua-peng Zhang,Jin-xuan Fang | |||
Mathematics 17 March 2008 | |||
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Abstract:In this paper, a new definition of locally convex L-topological vector spaces is given. The relationship between this new definition and the previous definition of locally convex L-topological vector spaces given by Yan and Fang [L-fuzzy locally convex topological vector spaces, J. Fuzzy Math. 7 (3) (1999) 765-772] is investigated. Moreover, the concept of generalized L-fuzzy semi-norm is introduced. By using a family of generalized L-fuzzy semi-norms, a characterization of the new locally convex L-topological vector spaces is presented. | |||
TO cite this article:Hua-peng Zhang,Jin-xuan Fang. A new definition of locally convex L-topological vector spaces[OL].[17 March 2008] http://en.paper.edu.cn/en_releasepaper/content/19377 |
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