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Attribute Exploration of Properties of Functions on Sets

Revenko A., Kuznetsov S. O.

Fundamenta Informaticae

2012

Vol. 115, nr 4

377-394

An approach for studying relations between properties of functions on sets is proposed. The approach is based on Attribute Exploration. 16 properties of functions are considered, among them monotonicity, idempotency, path independence, exchange properties, convexity, etc. Exam- ple functions are partially computer generated on the powersets of sets with 2, 3 and 4 elements. Attribute Exploration is run on contexts where objects are functions and attributes are 16 function properties. Minimal implication bases are presented. The list of proved implications is presented and discussed.