伪模糊度的公理化定义及余弦函数伪模糊度

利用对偶方法提出了伪模糊度的公理化定义，构造并证明了一个余弦函数伪模糊度．给出了模糊度与伪模糊度之间的关系，并利用模糊度、伪模糊度与贴近度之间的关系构造了一个贴近度，进而用贴近度建立了一类优化问题的数学模型

The Axiomatization Definition of the Pseudo Measure of Fuzziness and the Pseudo Measure of Fuzziness of a Cosine Function

The paper puts forward the axiomatization definition of pseudo measure of fuzziness by means of antithesis. It also constructs and proves the pseudo measure of fuzziness of a cosine function, giving the relationship between measure of fuzziness and pseudo measure of fuzziness. A proximity is also constructed through the relationship between measure of fuzziness, pseudo measure of fuzziness and measure of proximity, and a kind of mathematical models of optimization problems are formed through measure of proximity.