inverse relations 中文意思是什麼
inverse relations
解釋
逆聯系-
With relations of operators and matric, we will show that the inverse a - 1 of positive operator a is still a positive operator if and only if that a is a generalized permutation
利用運算元和矩陣的關系，得到正運算元t的逆是正運算元的充要條件是t是廣義置換運算元。 -
The main conclusions are as follows. firstly, among operations of fuzzy relations, the inverse does not change any transitivity at all and the complement changes some transitivity properties whereas the operations union and intersection fail to preserve most transitivity properties. secondly, we carry out a detailed investigation into the relationships of t - transitivity, negative s - transitivity, r - s - semitransitivity and t - s - ferrers properties under some conditions, such as completeness, strong de morgan triple, positive / - norm etc., and have some expected conclusions
其研究內容與結果歸納如下：首先，通過對模糊關系運算的傳遞性討論，我們得到，若一個模糊關系具有某種傳遞性，則其逆關系不改變其傳遞性性質，余關系僅改變一些第一類傳遞性性質，不改變第二類傳遞性性質；若兩個模糊關系具有某種傳遞性，它們的模並、模交運算不保持大多數傳遞性性質。 -
In the second section, we structure a kind of semirings, namely semidirect product of semirings, and prove an isomorphic theorem of semidirect products. in the third section, we give the characterizations of the relations of all kinds of regular semirings and introduce the concept of pseudo - inverse and the necessary and sufficient conditions of pseudo - invertible element. in the fourth section, we define an equivalence relation on the cartersian product of commutative semiring and its multiplicative subset
第二部分，先構造一類半環，半環半直積，然後證明半直積的同構定理第三部分，刻劃了半環各類正則元之間關系，引入偽逆的定義，給出了可偽逆元素的充要條件第四部分，在交換半環和乘法集的卡氏積上定義等價關系，進而構造了一類交換半環：分式半環
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