On Algebraic Structure of L‐Fuzzy Bags |
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| Authors: | Fateme Kouchakinejad Mashaallah Mashinchi Radko Mesiar |
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| Affiliation: | 1. Department of Mathematics, Graduate University of Advanced Technology, Kerman, Iran;2. Department of Statistics, Faculty of Mathematics and Computer Sciences, Shahid Bahonar University, Kerman, Iran;3. Department of Mathematics and Descriptive Geometry, Faculty of Civil Engineering, Slovak University of Technology, Bratislava, Slovakia |
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| Abstract: | 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. |
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