Minors of M-fuzzifying matroids

Article type: Research Article

Authors: Li, Er-Qiang^; | Shi, Fu-Gui

Affiliations: School of Mathematics and Statistics, Beijing Institute of Technology, Beijing, P.R. China | School of Mathematics and Statistics, Henan University of Science and Technology, Luoyang, P.R. China

Note: [] Corresponding author. Er-Qiang Li, E-mail: lierqiangzzu@163.com

Abstract: In this paper, a new kind of subtraction of M-fuzzy natural numbers is introduced. Based on the subtraction, the notions of dual and minor for M-fuzzifying matroids are given when M is the unit interval [0, 1] or a finite Boolean algebra. Following the analogy with crisp matroids a number of relations among these notions are derived.

Keywords: M-fuzzifying matroids, M-fuzzifying rank function, Subtraction of M-fuzzy natural numbers, Dual of M-fuzzifying matroids, Minors of M-fuzzifying matroids

DOI: 10.3233/IFS-141404

Journal: Journal of Intelligent & Fuzzy Systems, vol. 28, no. 3, pp. 1213-1224, 2015