Abstract

There are many aggregation operators have been defined up to date, but in this work, we define the interval valued Pythagorean fuzzy weighted geometric (IPFWG) operator, the interval-valued Pythagorean fuzzy ordered weighted geometric (IPFOWG) operator, and the interval-valued Pythagorean fuzzy hybrid geometric operator. We also discuss some properties and give some examples also to develop these operators. At the last we apply the interval-valued IPFWG operator and the interval-valued IPFOWG operator to multiple attribute decision-making problem under the interval-valued Pythagorean fuzzy information.

Details

Title
Interval-valued Pythagorean fuzzy geometric aggregation operators and their application to group decision making problem
Author
Rahman, K 1 ; Abdullah, S 2 ; Shakeel, M 1 ; Sajjad Ali Khan, M 1 ; Ullah, Murad 3 

1  Department of Mathematics, Hazara University Mansehra, Khyber Pakhtunkhwa, Pakistan 
2  Department of Mathematics, Abdul Wali Khan University Mardan, Khyber Pakhtunkhwa, Pakistan 
3  Department of Mathematics, Islamia College University Peshawar, Khyber Pakhtunkhwa, Pakistan 
Publication year
2017
Publication date
Dec 2017
Publisher
Taylor & Francis Ltd.
e-ISSN
23311835
Source type
Scholarly Journal
Language of publication
English
DOI
https://doi.org/10.1080/23311835.2017.1338638
ProQuest document ID
2012873158
Copyright
© 2017 The Author(s). This open access article is distributed under a Creative Commons Attribution (CC-BY) 4.0 license. This work is licensed under the Creative Commons Attribution License http://creativecommons.org/licenses/by/4.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.