Interval-Valued Pseudo Overlap Functions and Application

A class of interval-valued OWA operators can be constructed from overlap functions with weights, which plays an important role in solving multi-attribute decision making (MADM) problems considering interval numbers as attribute values. Among them, when the importance multiple attributes is different, it only calculated by changing weights. In fact, we directly abandon commutativity and extend (IO) to pseudo (IPO) so that function itself implies weights attributes, thus there no need calculate operator, more flexible applications. addition, similar generalization on t-norms obtained further enhances feasibility our study. this paper, mainly present notion a few their qualities, including migrativity homogeneity, give some construction theorems specific examples. Then, propose definitions residuated implications induced functions, equivalent forms, prove properties satisfied them. Finally, two application examples about IPO (I-MADM) are described. The results show not used obtain same rankings, but also flexible, simple widely used.