Yang, YiChen, Zhen-SongPedrycz, WitoldGomez, MarisolBustince, Humberto2024-05-192024-05-1920240165-01141872-6801https://doi.org10.1016/j.fss.2023.108771https://hdl.handle.net/20.500.12713/5298In this paper, we present a method of extending t-norms and t-conorms to a given closed subinterval [a, b] in [-infinity,+infinity], which preserves the basic properties of these fuzzy connectives and their one-to-one correspondence with operations in a I-semigroup. Subsequently, the generalized De Morgan triples, weighted generalized interval t-norms and t-conorms are provided to construct the aggregation function for extended basic uncertain information. Eventually, we apply the proposed aggregation function to establish the basic uncertain linguistic information-based aggregation operator.eninfo:eu-repo/semantics/closedAccessI-SemigroupGeneralized T-Norms And T-ConormsExtended Basic Uncertain InformationAggregation OperatorArticle476WOS:0011238722000012-s2.0-85177048643N/A10.1016/j.fss.2023.108771Q1