{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,12]],"date-time":"2025-10-12T03:02:14Z","timestamp":1760238134870,"version":"build-2065373602"},"reference-count":31,"publisher":"MDPI AG","issue":"6","license":[{"start":{"date-parts":[[2022,6,5]],"date-time":"2022-06-05T00:00:00Z","timestamp":1654387200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Entropy"],"abstract":"<jats:p>The paper deals with the methods of handling imperfect information and the control of mobile robots acting under uncertainty. It is assumed that the robots act in autonomous regime and are controlled internally without referring the externally defined probabilities of the states and actions. To control the activity of the robots, we suggest the novel multi-valued logic techniques based on the recently developed measures, known as the subjective trusts. In addition to specification of the robots\u2019 movements, such a technique allows for direct definition of the robots\u2019 swarming using the methods of artificial neural networks with mobile neurons. The suggested methods are verified by numerical simulations and running examples. The resulting framework forms a basis for processing non-probabilistic uncertainties and making individual decisions with imperfect information.<\/jats:p>","DOI":"10.3390\/e24060790","type":"journal-article","created":{"date-parts":[[2022,6,5]],"date-time":"2022-06-05T10:47:11Z","timestamp":1654426031000},"page":"790","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Subjective Trusts for the Control of Mobile Robots under Uncertainty"],"prefix":"10.3390","volume":"24","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-3430-3849","authenticated-orcid":false,"given":"Eugene","family":"Kagan","sequence":"first","affiliation":[{"name":"Department Industrial Engineering, Ariel University, Ariel 4076414, Israel"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Alexander","family":"Rybalov","sequence":"additional","affiliation":[{"name":"Laboratory for AI, Machine Learning, Business and Data Analytics, Tel Aviv University, Tel Aviv 6997801, Israel"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2022,6,5]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"270","DOI":"10.1098\/rspl.1867.0055","article-title":"On governors","volume":"16","author":"Maxwell","year":"1868","journal-title":"Proc. R. Soc. Lond."},{"key":"ref_2","doi-asserted-by":"crossref","unstructured":"Aliev, R., and Huseynov, O. (2014). Decision Theory with Imperfect Information, World Scientific.","DOI":"10.1142\/9186"},{"key":"ref_3","unstructured":"Feldbaum, A.A. (1963). Theory of Optimal Automated Systems, PhysMatGiz."},{"key":"ref_4","unstructured":"Aoki, M. (1967). Optimization of Stochastic Systems, Academic Press."},{"key":"ref_5","unstructured":"\u00c5str\u00f6m, K.J. (1970). Introduction to Stochastic Control Theory, Academic Press."},{"key":"ref_6","unstructured":"Bertsekas, D.P., and Shreve, S.E. (1978). Stochastic Optimal Control: The Discrete Time Case, Academic Press."},{"key":"ref_7","unstructured":"Dubois, D., and Prade, H. (1988). Possibility Theory, Plenum."},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"3","DOI":"10.1016\/0165-0114(78)90029-5","article-title":"Fuzzy sets as a basis for a theory of possibility","volume":"1","author":"Zadeh","year":"1978","journal-title":"Fuzzy Sets Syst."},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"263","DOI":"10.2307\/1914185","article-title":"Prospect theory: An analysis of decision under risk","volume":"47","author":"Kahneman","year":"1979","journal-title":"Econometrica"},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"622","DOI":"10.1038\/s41562-020-0886-x","article-title":"Replicating patterns of prospect theory for decision under risk","volume":"4","author":"Ruggeri","year":"2020","journal-title":"Nat. Hum. Behav."},{"key":"ref_11","doi-asserted-by":"crossref","unstructured":"Hassoun, M., and Kagan, E. (2021). On the right combination of altruism and randomness in the motion of homogeneous distributed autonomous agents. Nat. Comput.","DOI":"10.1007\/s11047-021-09876-w"},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"19","DOI":"10.1007\/s43069-022-00129-9","article-title":"Subjective trusts and prospects: Some practical remarks on decision making with imperfect information","volume":"3","author":"Kagan","year":"2022","journal-title":"Oper. Res. Forum"},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1142\/S0218488522500015","article-title":"Sum of certainties with the product of reasons: Neural network with fuzzy aggregators","volume":"30","author":"Kagan","year":"2022","journal-title":"Int. J. Uncertain. Fuzziness Knowl.-Based Syst."},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"111","DOI":"10.1016\/0165-0114(95)00133-6","article-title":"Uninorm aggregation operators","volume":"80","author":"Yager","year":"1996","journal-title":"Fuzzy Sets Syst."},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"678","DOI":"10.1109\/TFUZZ.2002.803500","article-title":"Fuzzy modeling based on generalized conjunction operations","volume":"10","author":"Batyrshin","year":"2002","journal-title":"IEEE Trans. Fuzzy Syst."},{"key":"ref_16","unstructured":"Fodor, J., Rudas, I., and Bede, B. (2006, January 29\u201330). Uninorms and absorbing norms with applications to image processing. Proceedings of the Information Conference SISY, 4th Serbian-Hungarian Joint Symposium on Intelligent Systems, Subotica, Serbia."},{"key":"ref_17","doi-asserted-by":"crossref","first-page":"709","DOI":"10.1002\/int.21598","article-title":"Probability-generated aggregators","volume":"28","author":"Kagan","year":"2013","journal-title":"Int. J. Intell. Syst."},{"key":"ref_18","unstructured":"Apolloni, B., Bassis, S., and Valerio, L. (August, January 31). Training a network of mobile neurons. Proceedings of the International Joint Conference on Neural Networks, San Jose, CA, USA."},{"key":"ref_19","doi-asserted-by":"crossref","unstructured":"Gazi, V., and Passino, K.M. (2011). Swarm Stability and Optimization, Springer.","DOI":"10.1007\/978-3-642-18041-5"},{"key":"ref_20","doi-asserted-by":"crossref","unstructured":"Kagan, E., Shvalb, N., and Ben-Gal, I. (2019). Autonomous Mobile Robots and Multi-Robot Systems: Motion-Planning, Communication, and Swarming, John Wiley & Sons.","DOI":"10.1002\/9781119213154"},{"key":"ref_21","unstructured":"Fregnac, Y. (2003). Hebbian cell ensembles. Encyclopedia of Cognitive Science, Nature Publishing Group."},{"key":"ref_22","unstructured":"Saeidi, H. (2016). Trust-Based Control of (Semi) Autonomous Mobile Robotic Systems. [Ph.D. Thesis, Clemson University]."},{"key":"ref_23","doi-asserted-by":"crossref","first-page":"239","DOI":"10.1109\/LRA.2018.2886406","article-title":"Incorporating trust and self-confidence analysis in the guidance and control of (semi) autonomous mobile robotic systems","volume":"4","author":"Saeidi","year":"2018","journal-title":"IEEE Robot. Autom. Lett."},{"key":"ref_24","doi-asserted-by":"crossref","first-page":"3006","DOI":"10.1098\/rspa.2012.0119","article-title":"The finite-dipole dynamical system","volume":"468","author":"Tchieu","year":"2012","journal-title":"Proc. R. Soc. A"},{"key":"ref_25","doi-asserted-by":"crossref","first-page":"411","DOI":"10.1142\/S0218488597000312","article-title":"Structure of uninorms","volume":"5","author":"Fodor","year":"1997","journal-title":"Int. J. Uncertain. Fuzziness Knowl.-Based Syst."},{"key":"ref_26","doi-asserted-by":"crossref","unstructured":"Klement, E., Mesiar, R., and Pap, E. (2000). Triangular Norms, Kluwer Academic Publishers.","DOI":"10.1007\/978-94-015-9540-7"},{"key":"ref_27","doi-asserted-by":"crossref","first-page":"2554","DOI":"10.1073\/pnas.79.8.2554","article-title":"Neural networks and physical systems with emergent collective computational abilities","volume":"79","author":"Hopfield","year":"1982","journal-title":"Proc. Natl. Acad. Sci. USA"},{"key":"ref_28","doi-asserted-by":"crossref","unstructured":"Kagan, E., and Ben-Gal, I. (2011). Navigation of quantum-controlled mobile robots. Recent Advances in Mobile Robotics, InTech.","DOI":"10.5772\/25944"},{"key":"ref_29","doi-asserted-by":"crossref","unstructured":"Jantzen, J. (2013). Foundations of Fuzzy Control, John Wiley & Sons.","DOI":"10.1002\/9781118535608"},{"key":"ref_30","unstructured":"Passino, K.M., and Yurkovich, S. (1998). Fuzzy Control, Addison-Wesley."},{"key":"ref_31","doi-asserted-by":"crossref","first-page":"893","DOI":"10.1103\/PhysRevA.58.893","article-title":"Quantum Robots and Environments","volume":"58","author":"Benioff","year":"1998","journal-title":"Phys. Rev. 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