Aggregation functions on n-dimensional ordered vectors equipped with an admissible order and an application in multi-criteria group decision-making

نویسندگان

چکیده

n-Dimensional fuzzy sets are a set extension where the membership values n-tuples of real numbers in unit interval [0,1] increasingly ordered, called n-dimensional intervals. The intervals is denoted by Ln([0,1]). This paper aims to investigate semi-vector spaces over weak semifield and aggregation functions concerning an admissible order on construction Ln([0,1]) based operations spaces. In particular, extensions family OWA weighted average investigated. Finally, we develop multi-criteria group decision-making method with respect give illustrative example.

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ژورنال

عنوان ژورنال: International Journal of Approximate Reasoning

سال: 2021

ISSN: ['1873-4731', '0888-613X']

DOI: https://doi.org/10.1016/j.ijar.2021.06.008