A note on the potentials of probabilistic and fuzzy logic

@article{Jamshidnejad2022ANO,
  title={A note on the potentials of probabilistic and fuzzy logic},
  author={Anahita Jamshidnejad},
  journal={ArXiv},
  year={2022},
  volume={abs/2210.00852}
}
—This paper mainly focuses on (1) a generalized treatment of fuzzy sets of type n , where n is an integer larger than or equal to 1 , with an example, mathematical discussions, and real-life interpretation of the given mathematical concepts; (2) the potentials and links between fuzzy logic and probability logic that have not been discussed in one document in literature; (3) representation of real-life random and fuzzy uncertainties and ambiguities that arise in data-driven real-life problems… 

Figures from this paper

References

SHOWING 1-10 OF 10 REFERENCES

Fuzzy Set Theory - and Its Applications

The book updates the research agenda with chapters on possibility theory, fuzzy logic and approximate reasoning, expert systems, fuzzy control, fuzzy data analysis, decision making and fuzzy set models in operations research.

Probability measures of Fuzzy events

  • L. Zadeh
  • Mathematics, Computer Science
  • 1968

Probabilistic Logic

  • N. Nilsson
  • Philosophy, Computer Science
    Artif. Intell.
  • 1986

Is there a need for fuzzy logic?

  • L. Zadeh
  • Computer Science
    NAFIPS 2008 - 2008 Annual Meeting of the North American Fuzzy Information Processing Society
  • 2008

Type-2 FLCs: A New Generation of Fuzzy Controllers

  • H. Hagras
  • Computer Science
    IEEE Computational Intelligence Magazine
  • 2007
Type-2 FLCs will have the potential to overcome the limitations of type-1 F LCs and produce a new generation of fuzzy controllers with improved performance for many applications, which require handling high levels of uncertainty.

Fuzzy Sets

Improvements are presented for the landmark paper of fuzzy sets for distributive law, convex combination and convex fuzzy sets to help researcher absorb the original paper.

From computing with numbers to computing with words. manipulation of measurements to manipulation of perceptions

  • L. Zadeh
  • Computer Science
    Proceedings of the Second International Conference on Intelligent Processing and Manufacturing of Materials. IPMM'99 (Cat. No.99EX296)
  • 1999
It may be argued that, as a concept, consciousness is much too complex to fit into the conceptual structure of existing theories based on Aristotelian logic and probability theory.

The concept of a linguistic variable and its application to approximate reasoning - II

An introduction to type-2 TSK fuzzy logic systems

  • Q. LiangJ. Mendel
  • Computer Science
    FUZZ-IEEE'99. 1999 IEEE International Fuzzy Systems. Conference Proceedings (Cat. No.99CH36315)
  • 1999
This paper presents the architectures of three type-2 TSK fuzzy logic systems (FLS) because of the possible type-1 or type- 2 natures of the antecedent memberships and parameters of the consequent.