# FUZZY MODEL BUILDING USING PROBABILISTIC RULES

### Manish Agarwal, K. K. Biswas, Madasu Hanmandlu

#### Abstract

Uncertainty in the attributes and uncertainty in frequency of their occurrences are inherent to the real world problems and an attempt is made here to tackle them together. The possible connections between the two facets of uncertainty are explored and discussed. This paper also looks at the role of possibility and probability in the context of decision making and in the process utilizes the existing fuzzy models by incorporating the multiple probabilistic outputs in the associated fuzzy rules. This is needed to obtain the net conditional possibility from the probabilistic fuzzy rules where the probabilistic information of the outputs is given. A novel approach is devised to compute net conditional possibility from the given probabilistic rules. The basis for extending the existing fuzzy models is also presented using the computed net conditional possibility. The enhanced fuzzy models accruing from the addition of the probabilistic information would usher in better decision making. The proposed approach is demonstrated through two case-studies.

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#### Paper Citation

#### in Harvard Style

Agarwal M., K. Biswas K. and Hanmandlu M. (2011). **FUZZY MODEL BUILDING USING PROBABILISTIC RULES** . In *Proceedings of the International Conference on Evolutionary Computation Theory and Applications - Volume 1: FCTA, (IJCCI 2011)* ISBN 978-989-8425-83-6, pages 361-369. DOI: 10.5220/0003616003610369

#### in Bibtex Style

@conference{fcta11,

author={Manish Agarwal and K. K. Biswas and Madasu Hanmandlu},

title={FUZZY MODEL BUILDING USING PROBABILISTIC RULES},

booktitle={Proceedings of the International Conference on Evolutionary Computation Theory and Applications - Volume 1: FCTA, (IJCCI 2011)},

year={2011},

pages={361-369},

publisher={SciTePress},

organization={INSTICC},

doi={10.5220/0003616003610369},

isbn={978-989-8425-83-6},

}

#### in EndNote Style

TY - CONF

JO - Proceedings of the International Conference on Evolutionary Computation Theory and Applications - Volume 1: FCTA, (IJCCI 2011)

TI - FUZZY MODEL BUILDING USING PROBABILISTIC RULES

SN - 978-989-8425-83-6

AU - Agarwal M.

AU - K. Biswas K.

AU - Hanmandlu M.

PY - 2011

SP - 361

EP - 369

DO - 10.5220/0003616003610369