In this paper, the problem of bipolar fuzzy ideal is further studied in non-involutive residuated lattices. The notion of normal bipolar fuzzy ideal is introduced, some important properties and equivalent characteriza...In this paper, the problem of bipolar fuzzy ideal is further studied in non-involutive residuated lattices. The notion of normal bipolar fuzzy ideal is introduced, some important properties and equivalent characterizations of normal bipolar fuzzy ideals are obtained. In addition, two special types of normal bipolar fuzzy ideals are defined, which are called maxima and completely normal bipolar fuzzy ideals, respectively, and their relationships are discussed.This work further expands the way for revealing the structural characteristics of non-involutive residuated lattices.展开更多
针对高等数学课程的教学评价问题,提出了一种基于投影测度和优劣解距离法(Technique for Order Perfomance by Similarity to Ideal Solution,TOPSIS)技术的多属性决策模型。给出一种新的标准化投影测度,以度量含实数与区间的含混向量...针对高等数学课程的教学评价问题,提出了一种基于投影测度和优劣解距离法(Technique for Order Perfomance by Similarity to Ideal Solution,TOPSIS)技术的多属性决策模型。给出一种新的标准化投影测度,以度量含实数与区间的含混向量的接近程度;将标准化投影测度融入TOPSIS方法中,建立了一种改进的TOPSIS模型;将其应用于高等数学课程的教学评价实践,并通过与其他模型对比,验证了模型的可行性与有效性。展开更多
基金Supported by the Higher School Research Foundation of Inner Mongolia(Grant No.NJZY18206).
文摘In this paper, the problem of bipolar fuzzy ideal is further studied in non-involutive residuated lattices. The notion of normal bipolar fuzzy ideal is introduced, some important properties and equivalent characterizations of normal bipolar fuzzy ideals are obtained. In addition, two special types of normal bipolar fuzzy ideals are defined, which are called maxima and completely normal bipolar fuzzy ideals, respectively, and their relationships are discussed.This work further expands the way for revealing the structural characteristics of non-involutive residuated lattices.
文摘针对高等数学课程的教学评价问题,提出了一种基于投影测度和优劣解距离法(Technique for Order Perfomance by Similarity to Ideal Solution,TOPSIS)技术的多属性决策模型。给出一种新的标准化投影测度,以度量含实数与区间的含混向量的接近程度;将标准化投影测度融入TOPSIS方法中,建立了一种改进的TOPSIS模型;将其应用于高等数学课程的教学评价实践,并通过与其他模型对比,验证了模型的可行性与有效性。
