An interval extension of homogeneous and pseudo-homogeneous t-norms and t-conorms

作者：Lima Lucelia^*; Bedregal Benjamin; Bustince Humberto; Barrenechea Edurne; Rocha Marcus

来源：Information Sciences, 2016, 355: 328-347.

DOI：10.1016/j.ins.2015.11.031

• T-norms
• T-conorms
• Interval homogeneity
• Pseudo-homogeneity

In this paper, the notion of homogeneity is extended to the interval-valued setting. In particular, we focus on the case of interval-valued t-norms and t-conorms and we characterize interval-valued homogeneous t-norms and t-conorms of interval-valued order. We also introduce the notions of interval-valued pseudo-homogeneous t-norm and interval pseudo homogeneous t-conorm are introduced and characterized. We illustrate our results with two examples, one in image processing and the other one in decision making.

• 出版日期2016-8-10