The logical basis for computer programming. Volume 1: deductive reasoning
The logical basis for computer programming. Volume 1: deductive reasoning
Fuzzy Sets and Systems
Information clustering based on fuzzy multisets
Information Processing and Management: an International Journal - Modelling vagueness and subjectivity in information access
Generalizations of multisets and rough approximations
International Journal of Intelligent Systems - Granular Computing and Data Mining
Algorithms of nonlinear document clustering based on fuzzy multiset model
International Journal of Intelligent Systems
Discrete t-norms and operations on extended multisets
Fuzzy Sets and Systems
Remarks on basics of fuzzy sets and fuzzy multisets
Fuzzy Sets and Systems
Aggregation of bounded fuzzy natural number-valued multisets
MDAI'10 Proceedings of the 7th international conference on Modeling decisions for artificial intelligence
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Bags alias multisets have long been studied in computer science, but recently more attention is paid on bags. In this paper we consider generalized bags which include real-valued bags, fuzzy bags, and a region-valued bags. Basic definitions as well as their properties are established; advanced operations such as s -norms, t -norms, and their duality are also studied. Moreover bag relations are discussed which has max-plus and max-min algebras as special cases. The reason why generalized bags are useful in applications is described. As two applications, bag-based data analysis and decision making based on convex function optimization related to bags are discussed.