Lanchester equation for cognitive domain using hesitant fuzzy linguistic terms sets

doi:10.23919/JSEE.2022.000062

Journal of Systems Engineering and Electronics ›› 2022, Vol. 33 ›› Issue (3): 674-682.doi: 10.23919/JSEE.2022.000062

• SYSTEMS ENGINEERING • Previous Articles Next Articles

Lanchester equation for cognitive domain using hesitant fuzzy linguistic terms sets

Qi HAN^1,*(), Weimin LI^1,*(), Qiling XU²(), Minrui ZHAO¹(), Runze HUO¹(), Tao ZHANG¹()

¹ Air Defense and Antimissile School, Air Force Engineering University, Xi’an 710051, China
² School of Humanities, Economics and Law , Northwestern Polytechnical University, Xi’an 710051, China

Received:2021-03-18 Online:2022-06-18 Published:2022-06-24
Contact: Qi HAN,Weimin LI E-mail:hqzgfc@163.com;touyinyatkv0883@163.com;xuqiling_nwpuer@163.com;zmr0204@163.com;529316534@qq.com;zhangtaov2016@163.com
About author:|HAN Qi was born in 1996. He received his B.S. degree from Air Force Engineering University in 2018. He is currently pursuing his Ph.D. degree in Air Force Engineering University. His research interests include decision making, fuzzy sets, and artificial intelligence. E-mail: hqzgfc@163.com||LI Weimin was born in 1964. He received his Ph.D. degree from University of Electronic Science and Technology of China in 1992. He currently works as a distinguished professor in Air Force Engineering University of China. His research interests include operational research, optimization algorithms, and fuzzy decision making theory. E-mail: touyinyatkv0883@163.com||XU Qiling was born in 1998. She received her B.S. degree from Northwestern Polytechnical University in 2020. Her research interests include Lanchester equation, international finance, derivative securities, asset pricing, and risk management. E-mail: xuqiling_nwpuer@163.com||ZHAO Minrui was born in 1996. He received his B.S. and M.S. degrees from Air Force Engineering University, China in 2018 and 2020 respectively. He is currently pursuing his Ph.D. degree in the Air Force Engineering University. His research interests include machine learning, intelligent algorithms, human-computer interaction, and command-control. E-mail: zmr0204@163.com||HUO Runze was born in 1997. He received his management degree from Southwest University in 2020. He is currently studying for his M.S. degree at Air Force Engineering University. His research interests include command and control, decision optimization and intelligent learning. E-mail: 529316534@qq.com||ZHANG Tao was born in 1992. He received his B.S. degree from Northwestern Polytechnical University in 2016 and M.S. degree from Air Force Engineering University in 2018. He is currently a Ph.D. candidate in Air Defense and Antimissile School, Air Force Engineering University. His research interests are Lanchester equation and control theory. E-mail: zhangtaov2016@163.com
Supported by:
This work was supported by the National Natural Science Foundation of China (61703426) and the National Social Science Foundation of China.

Abstract

Abstract:

Intelligent wars can take place not only in the physical domain and information domain but also in the cognitive domain. The cognitive domain will become the key domain to win in the future intelligent war. A Lanchester equation considering cognitive domain is proposed to fit the development tendency intelligent wars in this paper. One party is considered to obtain the exponential enhancement advantage on combat forces in combat if it can gain an advantage in the cognitive domain over the other party according to the systemic advantage function. The operational effectiveness of the cognitive domain in war is considered to consist of a series of indicators. Hesitant fuzzy sets and linguistic term sets are powerful tools when evaluating indicators, hence the indicators are scored by experts using hesitant fuzzy linguistic terms sets here. A unique hesitant fuzzy hybrid arithmetical averaging operator is used to aggregate the evaluation.

Key words: Lanchester equation, cognitive domain, hesitant fuzzy set, hesitant fuzzy hybrid arithmetical averaging operator

Qi HAN, Weimin LI, Qiling XU, Minrui ZHAO, Runze HUO, Tao ZHANG. Lanchester equation for cognitive domain using hesitant fuzzy linguistic terms sets[J]. Journal of Systems Engineering and Electronics, 2022, 33(3): 674-682.

Figures/Tables 7

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References 31

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Parameter	${x_1}$	${x_2}$	${x_3}$	${x_4}$
$B$	$\left\{ {{s_5},{s_4}} \right\}$	$\left\{ {{s_5}} \right\}$	$\left\{ {{s_5},{s_4},{s_3}} \right\}$	$\left\{ {{s_6},{s_5}} \right\}$
$R$	$\left\{ {{s_6}} \right\}$	$\left\{ {{s_6},{s_5}} \right\}$	$\left\{ {{s_7},{s_6}} \right\}$	$\left\{ {{s_8},{s_6}} \right\}$

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Lanchester equation for cognitive domain using hesitant fuzzy linguistic terms sets

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