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A 2-Tuple Linguistic Dynamic OWAWA Aggregation Operator and its application to multi-Attribute decision-making Cover

A 2-Tuple Linguistic Dynamic OWAWA Aggregation Operator and its application to multi-Attribute decision-making

Journal of Automation, Mobile Robotics and Intelligent Systems
Volume 19 (2025): Issue 4 (December 2025)
By: Yeleny Zulueta-Véliz,  Carlos Rafael Rodríguez Rodríguez and  Aylin Estrada Velazco  
Open Access
|Dec 2025

Figures & Tables

Figure 1.

The flowchart of the proposed approach
The flowchart of the proposed approach

Figure 2.

Non-dynamic 2-tuple linguistic evaluation of alternatives
Non-dynamic 2-tuple linguistic evaluation of alternatives

Figure 3.

Dynamic 2-tuple linguistic evaluation of alternatives using different ℓ values
Dynamic 2-tuple linguistic evaluation of alternatives using different ℓ values

xijk linguistic values for period t3

ekaic1c2c3c4
e1a1VPVGM
a2GGMG
a3VPPVG
a4MGPVP
e2a1PPEG
a2VGVGVG
a3MVEP
a4PMMG
e3a1VPVEEG
a2GVMVG
a3VPMGG
a4GPPM

xijk linguistic values for period t2

ekaic1c2c3c4
e1a1MGVGM
a2PVGGG
a3MGVGG
a4GVGGM
e2a1GGMG
a2GMMG
a3GVGEGP
a4PGPVG
e3a1MMEGEG
a2GMVPVG
a3PGVGG
a4MGMM

xijk linguistic values for period t1

ekaic1c2c3c4
e1a1VPPGM
a2MEPMVP
a3EPVPVGG
a4MVGVGM
e2a1GPMG
a2PVPPVP
a3EPEPEGP
a4VGGMG
e3a1VPVGVGP
a2GVPVPP
a3VPMGG
a4GGMP

X⌣(tλ)\mathord{\buildrel{\lower3pt\hbox{\scriptscriptstyle\smile}}\over X} \left( {{t_\lambda }} \right) outputs for different ℓ = 0 values in the 2TDOWAWAV,W

ℓa1a2a3a4
0(s4, –.25)(s4, –.22)(s3, .25)(s3,.08)
0.1(s4, –.25)(s4, –.25)(s3, .27)(s3, .12)
0.2(s4, –.25)(s4, –.27)(s3, .28)(s3, .16)
0.5(s4,–.26)(s4, –.35)(s3,.33)(s3.28)
0.8(s4,–.27)(s4,–.42)(s3,.37)(s3, .40)
0.9(s4,–.27)(s4, –.45)(s3, .39)(s3, .44)
1.0(s4,–.27)(s4, –.47)(s3,.40)(s3, .48)
2TDWA(s4,–.25)(s4,–.22)(s3, .25)(s3, .08)
2TDOWA(s4,-^7)(s4, –.47)(s3,.40)(s3, .48)
2TDWG [23](s4,–.26)(s4, –.33)(s3, .21)(s3,.05)
2TDWHA [23](s4,–.27)(s4, –.48)(s3,.17)(s3,.03)

x¯i{{\bar x}_i} non-dynamic 2-tuple linguistic evaluation of alternatives for each period_

ait1t2t3
a1(s3,0)(s4,0)(s4,–0.25)
a2(s2,–0.25)(s4,–0.50)(s4, 0.25)
a3(s3,–0.50)(s4,0)(s3,0)
a4(s4,–0.25)(s4,–0.50)(s3,–0.25)

Dynamic aggregation operators, order and solution obtained

ℓOrder
0a2 ≺ a1 ≺ a3 ≺ a4
0.1a1 = a2 ≺ a3 ≺ a4
0.2a1 ≺ a2 ≺ a3 ≺ a4
0.5a1 ≺ a2 ≺ a3 ≺ a4
0.8a1 ≺ a2 ≺ a4 ≺ a3
0.9a1 ≺ a2 ≺ a4 ≺ a3
1.0a1 ≺ a2 ≺ a4 ≺ a3
2TDWAa2 ≺ a1 ≺ a3 ≺ a4
2TDOWAa1 ≺ a2 ≺ a4 ≺ a3
2TDWG [23]a1 ≺ a2 ≺ a3 ≺ a4
2TDWHA [23]a1 ≺ a2 ≺ a3 ≺ a4
DOI: https://doi.org/10.14313/jamris-2025-032 | Journal eISSN: 2080-2145 | Journal ISSN: 1897-8649
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Language: English
Page range: 18 - 25
Submitted on: Apr 14, 2024
|
Accepted on: Sep 17, 2024
|
Published on: Dec 24, 2025
Published by: Łukasiewicz Research Network – Industrial Research Institute for Automation and Measurements PIAP
In partnership with: Paradigm Publishing Services
Publication frequency: 4 issues per year
Keywords:
linguistic decision-making,
dynamic decision-making,
2-tuple linguistic model,
aggregation operator
Related subjects:
Computer sciences,
Artificial intelligence,
Engineering,
Electrical engineering,
Control engineering, metrology and testing,
Mechanical engineering,
Fundamentals of mechanical engineering

© 2025 Yeleny Zulueta-Véliz, Carlos Rafael Rodríguez Rodríguez, Aylin Estrada Velazco, published by Łukasiewicz Research Network – Industrial Research Institute for Automation and Measurements PIAP
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

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