Decision-Making Analysis Under Interval-Valued q-Rung Orthopair Dual Hesitant Fuzzy Environment

Authors

Sumera Naz¹, Muhammad Akram^{2, *,} , Samirah Alsulami³, Faiza Ziaa⁴

¹Department of Mathematics, Division of Science and Technology, University of Education, Lahore, Pakistan

²Department of Mathematics, University of the Punjab, New Campus, Lahore, Pakistan.

³Department of Mathematics, University of Jeddah, College of Science, Jeddah, Saudi Arabia

⁴School of Mathematics, Minhaj University, Lahore, Pakistan

^*Corresponding author. Email: m.akram@pucit.edu.pk

DOI

10.2991/ijcis.d.201204.001How to use a DOI?

Keywords

Interval-valued q-rung orthopair dual hesitant fuzzy graphs; Hamacher operator; Zagreb energy; Harmonic energy; Search and rescue robots

Abstract

Interval-valued dual hesitant fuzzy set (IVDHFS) as an extended structure of hesitant fuzzy set (HFS), interval-valued HFS and dual hesitant fuzzy set (DHFS) has been developed and applied in multi-attribute decision-making (MADM) problem. While deciding the membership degree (MD) and nonmembership degree (NMD) in -rung orthopair fuzzy condition, decision makers perhaps hesitant among a lot of values, and the -rung orthopair dual hesitant fuzzy sets (-RODHFSs) were proposed. Decision makers prefer to utilize interval values, instated of crisp numbers, to represent MD and NMD in MADM problems. In this paper, we propose the novel idea of interval-valued -rung orthopair dual hesitant fuzzy graphs, in the light of Hamacher operator, called interval-valued -rung orthopair dual hesitant fuzzy Hamacher graphs (IV -RODHFHGs) and determine its energy. Further, we develop the new concepts of Zagreb energy and Harmonic energy of IV -RODHFHGs. Moreover, we apply the proposed concept of IV -RODHFHGs to solve the MADM problems with IV -RODHF information. Finally, a numerical model relating to the evaluation of the performance of search and rescue robots is presented to show the utilization of the developed technique. To interpret the effectiveness and the validity of the proposed method, a comparison analysis with the established approaches is conducted.

Copyright

© 2021 The Authors. Published by Atlantis Press B.V.

Open Access

This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - JOUR
AU  - Sumera Naz
AU  - Muhammad Akram
AU  - Samirah Alsulami
AU  - Faiza Ziaa
PY  - 2020
DA  - 2020/12/14
TI  - Decision-Making Analysis Under Interval-Valued q-Rung Orthopair Dual Hesitant Fuzzy Environment
JO  - International Journal of Computational Intelligence Systems
SP  - 332
EP  - 357
VL  - 14
IS  - 1
SN  - 1875-6883
UR  - https://doi.org/10.2991/ijcis.d.201204.001
DO  - 10.2991/ijcis.d.201204.001
ID  - Naz2020
ER  -