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On Algebraic Structure of L‐Fuzzy Bags
Author(s) -
Kouchakinejad Fateme,
Mashinchi Mashaallah,
Mesiar Radko
Publication year - 2016
Publication title -
international journal of intelligent systems
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.291
H-Index - 87
eISSN - 1098-111X
pISSN - 0884-8173
DOI - 10.1002/int.21813
Subject(s) - algebraic structure , algebraic number , fuzzy logic , mathematics , computer science , fuzzy number , algebraic operation , algebra over a field , discrete mathematics , fuzzy set , pure mathematics , artificial intelligence , mathematical analysis
This study introduces a revised definition for fuzzy bags. It is based on the definition of bags given by Delgado et al. ( Int J Intell Syst 2009;24:706–721) in which each bag has two parts: function and summary information. The new definition is given as a special case of L‐fuzzy bags, where L is a complete lattice. By some examples, the new concept is illustrated. Furthermore, the algebraic structure of L‐fuzzy bags is studied and the concept of α‐cuts, L‐fuzzy bag relations, and related theorems are given.