本文選題：模糊蘊(yùn)涵 + 聚合算子　； 參考：《模糊系統(tǒng)與數(shù)學(xué)》2017年04期

【摘要】：本文基于一般的聚合算子,提出一類新的模糊蘊(yùn)涵,稱之為廣義剩余蘊(yùn)涵.廣義剩余蘊(yùn)涵是模糊邏輯中十分重要的剩余蘊(yùn)涵的自然推廣.我們進(jìn)一步討論這類蘊(yùn)涵的基本性質(zhì),并且探究廣義剩余蘊(yùn)涵與由模糊合取生成的蘊(yùn)涵之間的關(guān)系,并證明這兩類蘊(yùn)涵為不同的蘊(yùn)涵.這些結(jié)果在模糊邏輯與模糊決策之間建立了新的聯(lián)系.
[Abstract]:In this paper, based on the general aggregation operator, a new kind of fuzzy implication is proposed, which is called generalized residual implication. Generalized residual implication is a natural generalization of the very important residual implication in fuzzy logic. We further discuss the basic properties of this kind of implication, and explore the relationship between generalized residual implication and the implication generated by fuzzy combination, and prove that the two kinds of implication are different implication. These results establish a new relationship between fuzzy logic and fuzzy decision-making.
【作者單位】： 浙江理工大學(xué)理學(xué)院;
【基金】：國家自然科學(xué)基金(11171308、61379018、61472471、51305400)
【分類號(hào)】：O159
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本文編號(hào)：1879969