Efficient methods for computing linguistic consistency

Consistency and consensus measures for linguistic preference relations based on distribution assessments

“…Xu [30] defines the transitivity properties of preference relations with virtual linguistic terms. Sahnoun et al [31] propose a method to obtain a fuzzy measure of the consistency of linguistic information by applying some operators over the membership functions associated to the linguistic terms. Dong et al [32] develop an consistency measure method of linguistic preference relations, which is used to measure the consistency degree of individual linguistic preference relations.…”

On linguistic approximation of uncertainty quantities based on signal-noise ratio

“…The correlation coefficients computed in this paper, which lie in [ ], give us more information than that the correlation coefficients computed by [21,22,23]. The correlation coefficients computed by us which show us not only the degree of the relationship between the intuitionistic fuzzy sets, but also the fact that these two sets are positive or negative related, which are better than the correlation coefficients from other methods, they review only the strength of the relation.…”

Correlation Coefficient Between Fuzzy Numbers Based On Central Interval

“…The correlation coefficients computed in this paper, which lie in [-1,1], give us more information than that the correlation coefficients computed by [8,10,12]. The correlation coefficients computed by us which show us not only the degree of the relationship between the intuitionistic fuzzy sets, but also the fact that these two sets are positive or negative related, which are better than the correlation coefficients from other methods, they review only the strength of the relation.…”

“…This example shows that ρ w (G 6 ,G i ) is decreasing in i, intuitively. But the methods of [8,10,12] have not decreasing behavior. For our method weighted function f interact on correlation value between two fuzzy numbers.…”