Aggregation operators using einstein operations on intuitionistic trapezoidal fuzzy number

Author

Xinye Zhao ; Rusheng Ju ; Shanliang Yang ; Yun Zhou

Author_Institution

Coll. of Inf. Syst. & Manage., Nat. Univ. of Defense Technol., Changsha, China

fYear

2013

fDate

23-25 July 2013

Firstpage

23

Lastpage

28

Abstract

A multi-criteria group decision-making method based on Einstein aggregation operations is investigated to solve the decision-making problems under the intuitionistic trapezoidal fuzzy set environment. This study proposes to develop some novel intuitionistic fuzzy Einstein geometric aggregation operators with ITFNs, such as the intuitionistic trapezoidal fuzzy Einstein weighted geometric (ITFEWG) operator, the intuitionistic trapezoidal fuzzy Einstein ordered weighted geometric (ITFEOWG) operator, the induced intuitionistic trapezoidal fuzzy Einstein ordered weighted geometric (I-ITFEOWG) operator and the intuitionistic trapezoidal fuzzy Einstein hybrid geometric (ITFEHG) operator, and further establish various properties of these operators.

Keywords

decision making; formal logic; fuzzy set theory; geometry; mathematical operators; number theory; Einstein aggregation operations; I-ITFEOWG operator; ITFEHG operator; ITFEWG operator; ITFN; decision making problems; induced intuitionistic trapezoidal fuzzy Einstein ordered weighted geometric operator; intuitionistic fuzzy Einstein geometric aggregation operators; intuitionistic trapezoidal fuzzy Einstein hybrid geometric operator; intuitionistic trapezoidal fuzzy Einstein weighted geometric operator; intuitionistic trapezoidal fuzzy number; intuitionistic trapezoidal fuzzy set environment; multicriteria group decision-making method; Decision making; Educational institutions; Fuzzy sets; Fuzzy systems; Knowledge discovery; Vectors; Weight measurement; Einstein operation; geometric aggregation operators; multi criteria group decision making; trapezoidal intuitionistic fuzzy numbers;

fLanguage

English

Publisher

ieee

Conference_Titel

Fuzzy Systems and Knowledge Discovery (FSKD), 2013 10th International Conference on

Conference_Location

Shenyang

Type

conf

DOI

10.1109/FSKD.2013.6816160

Filename

6816160