Markov chain based on neutrosophic numbers in decision making

Authors

  • KUPPUSWAMI G SRI VENKATESWARAA COLLEGE OF TECHNOLOGY CHENNAI TAMILNADU
  • SUJATHA R SSN COLLEGE OF ENGINEERING CHENNAI INDIA
  • NAGARAJAN D Hindustan Institute of Science and Technology Chennai India.
  • SAID BROUMI B Laboratory of Information Processing, Faculty of Science Ben MSik University Hassan II, Casablanca, Morocco
  • KAVIKUMAR J Faculty of Applied Science and Technology, Universiti Tun Hussein Onm Malaysia, Malaysia

DOI:

https://doi.org/10.48129/kjs.v48i4.9849

Keywords:

Markov chain, neutrosophic Markov chain, neutrosophic numbers, traffic, ergotic neutrosophic Markov chain

Abstract

Markov chain is a stochastic model for estimating the equilibrium of any system.  It is a unique mathematical model in which the future behavior of the system depends only on the present.  Often biased possibilities can be used over biased probabilities for handling uncertain information to define Markov chain using fuzzy environment.  Indeterminacy is different from randomness due to its construction type where the items involved in the space are true and false in the same time.   In this context as an extension of conventional and fuzzy probabilities neutrosophic probability (NP) was introduced.  These neutrosophic probabilities can be captured as neutrosophic numbers.  In this paper, Markov chain based on neutrosophic numbers is introduced and a new approach the ergoticity for the traffic states in the neutrosophic markov chain based on neutrosophic numbers is verified. The proposed approach is applied to decision making in prediction of traffic volume.

Author Biographies

KUPPUSWAMI G, SRI VENKATESWARAA COLLEGE OF TECHNOLOGY CHENNAI TAMILNADU

ASSISTANT PROFESSOR

DEPARTMENT OF MATHEMATICS

 

SUJATHA R, SSN COLLEGE OF ENGINEERING CHENNAI INDIA

ASSOCIATE PROFESSOR

DEPARTMENT OF MATHEMATICS

 

NAGARAJAN D, Hindustan Institute of Science and Technology Chennai India.

ASSOCIATE PROFESSOR

DEPARTMENT OF MATHEMATICS

SAID BROUMI B, Laboratory of Information Processing, Faculty of Science Ben MSik University Hassan II, Casablanca, Morocco

PROFESSOR

DEPARTMENT OF MATHEMATICS

KAVIKUMAR J, Faculty of Applied Science and Technology, Universiti Tun Hussein Onm Malaysia, Malaysia

PROFESSOR

DEPARTMENT OF MATHEMATICS

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Published

16-08-2021