Aggregation for Atanassov%26apos;s Intuitionistic and Interval Valued Fuzzy Sets: The Median Operator

作者：Beliakov Gleb^*; Bustince Humberto; James Simon; Calvo Tomasa; Fernandez Javier

来源：IEEE Transactions on Fuzzy Systems, 2012, 20(3): 487-498.

DOI：10.1109/TFUZZ.2011.2177271

• Aggregation operators
• Atanassov%26apos
• s intuitionistic fuzzy sets (AIFS)
• distributive lattices
• interval-valued fuzzy sets (IVFS)
• median

Atanassov%26apos;s intuitionistic fuzzy sets (AIFS) and interval valued fuzzy sets (IVFS) are two generalizations of a fuzzy set, which are equivalent mathematically although different semantically. We analyze the median aggregation operator for AIFS and IVFS. Different mathematical theories have lead to different definitions of the median operator. We look at the median from various perspectives: as an instance of the intuitionistic ordered weighted averaging operator, as a Fermat point in a plane, as a minimizer of input disagreement, and as an operation on distributive lattices. We underline several connections between these approaches and summarize essential properties of the median in different representations.

• 出版日期2012-6
• 单位迪肯大学