| 摘要: |
| 本文介绍作者所提出的因素空间理论,它为概念描述提供了一般的数学框架,本文不加证明地列出了有关的基本数学命题和结论。 |
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| FACTOR SPACE AND DESCRIPTION OF CONCEPTS |
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Wang Peizhuang
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| Abstract: |
| In fuzzy systems the two very important key questions, the selection of universe and the description of intentions of concepts, have not been solved within fuzzy sets theory. For solving these questions, the author created the concept of factor space. Define factor space as follow: DEFINITION: A factor space is a set family {X(f)}(f∈F) taking a completed Boolean algebra F = F(∨,∧, c,1,0) as index set, and satisfies the following two items:(2.1)X(0)={φ}(2.2)((AT∈F)(t,s∈T,t≠s)=>s∧t=>0)=>X(∨t∈TFt0=Ⅱt∈TX(Ft) F is called the factor set, f?F is called factor, X(f) is called full space |
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