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Indexed by:期刊论文

Date of Publication:2014-09-01

Journal:INFORMATION SCIENCES

Included Journals:SCIE、EI、Scopus

Volume:277

Page Number:284-298

ISSN No.:0020-0255

Key Words:Intuitionistic fuzzy special set; Intuitionistic fuzzy set; Intuitionistic nested set; Cut set; Decomposition theorem; Representation theorem

Abstract:In this paper, we build up a connection between intuitionistic fuzzy special set (IFSS) and intuitionistic fuzzy set (IFS). Firstly, by using the concept of IFSS, we present the concept of intuitionistic nested set (INS) and show that an IFS can be determined by an INS. Secondly, we introduce the concept of lambda-cut sets of IFS and show that lambda-cut sets of IFS have the same properties as the cut sets of Zadeh fuzzy set. Thirdly, by using the concepts of lambda-cut set of IFS and INS, we build up the decomposition theorem, representation theorem and extension principle of IFS. Finally, we apply our theory to intuitionistic fuzzy algebra and obtain the concept of intuitionistic fuzzy subgroup. (C) 2014 Elsevier Inc. All rights reserved.