Influence of Procedures for Interactive Identification Method on Forms of Identified Membership Functions

Yoshikawa, Ayumi

doi:10.3156/jsoft.19.69

Cited by 7 publications

(1 citation statement)

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“…In Chameau and Santamarina's study [3], they prepared a set of questionnaires to compare four elicitation methods: point estimation, interval estimation, membership function exemplification, and pairwise comparison as possible candidates for practical applications. Then, Yoshikawa [12] discussed the influence of procedures for an interactive identification method on forms of identified membership functions. His proposed approach is also based on the interval estimation and questionnaires to the degree of membership.…”

Section: Introductionmentioning

confidence: 99%

Constructing membership function based on fuzzy shannon entropy and human's interval estimation

Hasuike

Katagiri

Tsubaki

2012

2012 IEEE International Conference on Fuzzy Systems

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Abstract-This paper develops a new constructing approach of an appropriate membership function to integrate a given probability density function and fuzzy Shannon entropy extending the statistical theory into the heuristic method based on the human cognitive behavior and subjectivity. The proposed approach is formulated as a more general mathematical programming problem than previous approaches due to using a general S-curve function and the fuzzy Shannon entropy. Then, performing deterministic equivalent transformations to the initial problem, the optimal condition of parameters is obtained. Furthermore, in order to show the appropriate membership function using the proposed approach, some probability density functions are provided as numerical examples.

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Section: Introductionmentioning

confidence: 99%