Signatures: Definitions, operators and applications to fuzzy modelling

Authors:
Claudiu Pozna;NicuşOr Minculete;Radu-Emil Precup;LáSzló T. KóCzy;ÁRon Ballagi
Affiliations:
Department of Informatics, Széchenyi István University, Egyetem tér 1, 9026 Gyõr, Hungary and Department of Product Design and Robotics, Transilvania University of Brasov, Bd. ...;Faculty of International Economic Relations, “Dimitrie Cantemir” University of Brasov, Str. Bisericii Romane 107, 500068 Brasov, Romania;Department of Automation and Applied Informatics, “Politehnica” University of Timisoara, Bd. V. Parvan 2, 300223 Timisoara, Romania;Faculty of Engineering Sciences, Széchenyi István University, Egyetem tér 1, 9026 Gyõr, Hungary and Department of Telecommunications and Media Informatics, Budapest University ...;Department of Automation, Széchenyi István University, Egyetem tér 1, 9026 Gyõr, Hungary
Venue:
Fuzzy Sets and Systems
Year:
2012

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Abstract

This paper presents a new framework for the symbolic representation of data which is referred to as signatures. The definitions of signatures and of signature trees are first given. Original operators on signatures are next presented, i.e., contraction, extension, pruning, addition, multiplication, and grafting. Attractive applications of signatures related to the modelling of fuzzy inference systems are suggested and discussed. An example is included to accompany the theoretical results.