Hesitant Fuzzy Linguistic Arithmetic Aggregation Operators in Multiple Attribute Decision Making

Authors

  • Ahmed Alsaedi Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia
  • Fuad E. Alsaadi Communications Systems and Networks (CSN) Research Group, Department of Electrical and Computer Engineering, Faculty of Engineering, King Abdulaziz University, Jeddah 21589, Saudi Arabia
  • Guiwu Wei School of Business, Sichuan Normal University, Chengdu, 610101, P.R. China; Communications Systems and Networks (CSN) Research Group, Department of Electrical and Computer Engineering, Faculty of Engineering, King Abdulaziz University, Jeddah 21589, Saudi Arabia
  • Tasawar Hayat Department of Mathematics, QuaidI-Azam University 45320, Islam- abad 44000, Pakistan; Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia
Abstract:

In this paper, we investigate the multiple attribute decision making (MADM) problem based on the arithmetic and geometric aggregation operators with hesitant fuzzy linguistic information. Then, motivated by the idea of traditional arithmetic operation, we have developed some aggregation operators for aggregating hesitant fuzzy linguistic information: hesitant fuzzy linguistic weighted average (HFLWA) operator, hesitant fuzzy linguistic ordered weighted average (HFLOWA) operator and hesitant fuzzy linguistic hybrid average (HFLHA) operator. Furthermore, we propose the concept of the dual hesitant fuzzy linguistic set and develop some aggregation operators with dual hesitant fuzzy linguistic information. Then, we have utilized these operators to develop some approaches to solve the hesitant fuzzy linguistic multiple attribute decision making problems. Finally, a practical example is given to verify the developed approach and to demonstrate its practicality and effectiveness.

Upgrade to premium to download articles

Sign up to access the full text

Already have an account?login

similar resources

2-tuple intuitionistic fuzzy linguistic aggregation operators in multiple attribute decision making

In this paper, we investigate the multiple attribute decisionmaking (MADM) problems with 2-tuple intuitionistic fuzzylinguistic information. Then, we utilize arithmetic and geometricoperations to develop some 2-tuple intuitionistic fuzzy linguisticaggregation operators. The prominent characteristic of theseproposed operators are studied. Then, we have utilized theseoperators to develop some app...

full text

Interval-valued dual hesitant fuzzy linguistic geometric aggregation operators in multiple attribute decision making

In this paper, we investigate the multiple attribute decision making (MADM) problem based on the arithmetic and geometric aggregation operators with interval-valued dual hesitant fuzzy linguistic information. Then, motivated by the ideal of traditional arithmetic operation, we have developed some aggregation operators for aggregating interval-valued dual hesitant fuzzy linguistic information: i...

full text

Arithmetic Aggregation Operators for Interval-valued Intuitionistic Linguistic Variables and Application to Multi-attribute Group Decision Making

The intuitionistic linguistic set (ILS) is an extension of linguisitc variable. To overcome the drawback of using single real number to represent membership degree and non-membership degree for ILS, the concept of interval-valued intuitionistic linguistic set (IVILS) is introduced through representing the membership degree and non-membership degree with intervals for ILS in this paper. The oper...

full text

Hesitant q-rung orthopair fuzzy aggregation operators with their applications in multi-criteria decision making

The aim of this manuscript is to present a new concept of hesitant q-rung orthopair fuzzy sets (Hq-ROFSs) by combining the concept of the q-ROFSs as well as Hesitant fuzzy sets. The proposed concept is the generalization of the fuzzy sets, intuitionistic fuzzy sets, hesitant fuzzy sets, and Pythagorean fuzzy sets as well as intuitionistic hesitant fuzzy sets (IHFSs) and hesitant Pythagorean fuz...

full text

Multiple attribute decision making of interval probabilistic hesitant fuzzy information

Hesitant fuzzy set (HFS), which can be accurately and perfectly described in terms of the opinions of decision makers, is considered as a powerful tool to express uncertain information in the process of multi-attribute decision making (MADM) problems. The core of the HFS is the hesitant fuzzy element (HFE).This paper developed a method, which using the interval probabilistic hesitant fuzzy elem...

full text

Trapezoidal intuitionistic fuzzy prioritized aggregation operators and application to multi-attribute decision making

In some multi-attribute decision making (MADM) problems, various relationships among the decision attributes should be considered. This paper investigates the prioritization relationship of attributes in MADM with trapezoidal intuitionistic fuzzy numbers (TrIFNs). TrIFNs are a special intuitionistic fuzzy set on a real number set and have the better capability to model ill-known quantities. Fir...

full text

My Resources

Save resource for easier access later

Save to my library Already added to my library

{@ msg_add @}


Journal title

volume 13  issue 4

pages  1- 16

publication date 2016-08-30

{@ msg @}

By following a journal you will be notified via email when a new issue of this journal is published.

Keywords

Hosted on Doprax cloud platform doprax.com

copyright © 2015-2023