TY - GEN

T1 - Subjective markov process with fuzzy aggregations

AU - Kagan, Eugene

AU - Rybalov, Alexander

AU - Yager, Ronald

N1 - Publisher Copyright:
Copyright © 2020 by SCITEPRESS - Science and Technology Publications, Lda. All rights reserved

PY - 2020

Y1 - 2020

N2 - Dynamical models of autonomous systems usually follow general assumption about rationality of the systems and their judgements. In particular, the systems acting under uncertainty are defined using probabilistic methods with the reasoning based on minimization or maximization of the expected payoffs or rewards. However, in the systems that deal with rare events or interact with human usually demonstrating irrational behaviour correctness of the use of probability measures and of the utility functions is problematic. In order to solve this problem, in the paper we suggest a Markov-like process that is based on a certain type of possibility measures and uninorm and absorbing norm aggregators. Together these values and operators form an algebraic structure that, on one hand, extends Boolean algebra and, on the other hand, operates on the unit interval as arithmetic system. We demonstrate the basic properties of the suggested subjective Markov process that go in parallel to the properties of usual Markov process, and stress formal differences between two models. The actions of the suggested process are illustrated by the simple model of search that clarifies the differences between Markov and subjective Markov processes and corresponding decision-making.

AB - Dynamical models of autonomous systems usually follow general assumption about rationality of the systems and their judgements. In particular, the systems acting under uncertainty are defined using probabilistic methods with the reasoning based on minimization or maximization of the expected payoffs or rewards. However, in the systems that deal with rare events or interact with human usually demonstrating irrational behaviour correctness of the use of probability measures and of the utility functions is problematic. In order to solve this problem, in the paper we suggest a Markov-like process that is based on a certain type of possibility measures and uninorm and absorbing norm aggregators. Together these values and operators form an algebraic structure that, on one hand, extends Boolean algebra and, on the other hand, operates on the unit interval as arithmetic system. We demonstrate the basic properties of the suggested subjective Markov process that go in parallel to the properties of usual Markov process, and stress formal differences between two models. The actions of the suggested process are illustrated by the simple model of search that clarifies the differences between Markov and subjective Markov processes and corresponding decision-making.

KW - Decision-making

KW - Fuzzy Logic

KW - Markov Process

KW - Subjective Reasoning

UR - http://www.scopus.com/inward/record.url?scp=85083111797&partnerID=8YFLogxK

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AN - SCOPUS:85083111797

T3 - ICAART 2020 - Proceedings of the 12th International Conference on Agents and Artificial Intelligence

SP - 386

EP - 394

BT - ICAART 2020 - Proceedings of the 12th International Conference on Agents and Artificial Intelligence

A2 - Rocha, Ana

A2 - Steels, Luc

A2 - van den Herik, Jaap

T2 - 12th International Conference on Agents and Artificial Intelligence, ICAART 2020

Y2 - 22 February 2020 through 24 February 2020

ER -