Journal of Jilin University Science Edition ›› 2019, Vol. 57 ›› Issue (3): 480-486.
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ZHANG Tinghai, QIN Feng
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Abstract: We considered the interrelations among the basic algebraic properties of grouping functions, such as idempotency, strict monotonicity, Archimedean property. We gave the results that the ordinal sum of a series of grouping functions was still a grouping function by means of a way similar to the ordinal sum of semigroups. Furthermore, we rectified several errors in describing the above properties about overlap functions in the existing literature.
Key words: grouping function, idempotent element, limit condition, Archimedean, ordinal sum
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ZHANG Tinghai, QIN Feng. Algebraic Properties and Ordinal Sum of Grouping Functions[J].Journal of Jilin University Science Edition, 2019, 57(3): 480-486.
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http://xuebao.jlu.edu.cn/lxb/EN/Y2019/V57/I3/480
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