Title :
The Linguistic Weighted Average
Author :
Wu, Dongrui ; Mendel, Jerry M.
Author_Institution :
Univ. of Southern California, Los Angeles
Abstract :
The focus of this paper is the linguistic weighted average (LWA), which is a generalization of the fuzzy weighted average (FWA) that is obtained by replacing the type-1 fuzzy inputs in the FWA by interval type-2 fuzzy sets (IT2 FSs). Consequently, the output of the LWA is an IT2 FS. In this paper, the relations between the LWA and the FWA are studied. It is shown that finding the LWA can be decomposed into finding two FWAs, where alpha-cuts and KM algorithms are used. Hence, the computational cost of a LWA is about twice that of a FWA. A flowchart for computing the LWA is also provided.
Keywords :
computational linguistics; decision making; fuzzy set theory; FWA generalization; flowchart; fuzzy weighted average; interval type-2 fuzzy sets; linguistic weighted average; type-1 fuzzy inputs; Computational efficiency; Decision making; Distributed decision making; Flowcharts; Frequency selective surfaces; Fuzzy sets; Quality management; Vocabulary;
Conference_Titel :
Fuzzy Systems, 2006 IEEE International Conference on
Conference_Location :
Vancouver, BC
Print_ISBN :
0-7803-9488-7
DOI :
10.1109/FUZZY.2006.1681768
