Uncertain knowledge representation and reasoning with linguistic belief structures

• Published in: Information sciences Vol. 585; pp. 471 - 497
• Main Authors: Rajati, Mohammad Reza, Mendel, Jerry M.
• Format: Journal Article
• Language: English
• Published: Elsevier Inc 01.03.2022
• Subjects: Combination of evidence; Compatibility measures; Computing with words; Doubly normalized linguistic weighted averages; Interval type-2 fuzzy sets; Linguistic belief structures; Linguistic weighted averages; Lower probabilities; Upper probabilities; Linguistic belief structures; Interval type-2 fuzzy sets; Lower probabilities; Combination of evidence; Linguistic weighted averages; Upper probabilities; Compatibility measures; Doubly normalized linguistic weighted averages; Computing with words

In this paper, we extend the concept of Dempster-Shafer Belief Structures to the case of Linguistic Belief Structures, whose focal elements and probability mass assignments are linguistic, i.e. words modeled by Interval Type-2 Fuzzy Sets. We show that Linguistic Weighted Averages are pertinent tools...