Using I-subgroup-based weighted generalized interval t-norms for aggregating basic uncertain information

doi:10.1016/j.fss.2023.108771

Using I-subgroup-based weighted generalized interval t-norms for aggregating basic uncertain information

2024-01-01

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DOI：10.1016/j.fss.2023.108771

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Abstract

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In 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.

Keywords:

I-semigroup

Generalized t-norms and t-conorms

Extended basic uncertain information

Aggregation operator

Using I-subgroup-based weighted generalized interval t-norms for aggregating basic uncertain information

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