This chapter studies L-fuzzy bags and some of its applications in which L is a complete lattice. Furthermore, the concepts of \(\alpha \)-cuts, (L-fuzzy) bag relations and related theorems are given. The chapter ends with the characterization of the algebraic structure of bags and L-fuzzy bags.
This chapter is dedicated to Prof. Miyamoto. The major part was completed during reward stay of F. Kouchakinejad at Department of Mathematics and Descriptive Geometry, Faculty of Civil Engineering of Slovak University of Technology in Bratislava on the supervision of R. Mesiar. The first author acknowledges the financial support received from the Ministry of Science, Research and Technology of the Islamic Republic of Iran. The work of the third author was supported by the grant APVV-14-0013.
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