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Intuitionistic fuzzy sets in questionnaire analysis

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Abstract

Fuzzy sets represent an extension of the concept of set, used to mathematically model veiled and indefinite concepts, such as those of youth, poverty, customer satisfaction and so on. Fuzzy theory introduces a membership function, expressing the degree of membership of the elements to a set. Intuitionistic fuzzy sets and hesitant fuzzy sets are two extensions of the theory of fuzzy sets, in which non-membership degrees and hesitations expressed by a set of experts are, respectively, introduced. In this paper, we apply intuitionistic fuzzy sets to questionnaire analysis, with a focus on the construction of membership, non-membership and uncertainty functions. We also suggest the possibility of considering intuitionistic hesitant fuzzy sets as a valuable theoretical framework. We apply these models to the evaluation of a Public Administration and we assess our results through a sensitivity analysis.

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Notes

  1. In order to avoid any conflict of notation, we employed p and \( \omega \) instead of \( (1 - \xi ) \) and \( (1 - \pi ) \) adopted by Iannario and Piccolo (2012).

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Authors and Affiliations

  1. Statistical Section, Department of Economics, Management and Statistics, University of Milan-Bicocca, Piazza Ateneo Nuovo 1, 20126, Milan, Italy

    Donata Marasini, Piero Quatto & Enrico Ripamonti

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  1. Donata Marasini
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  2. Piero Quatto
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  3. Enrico Ripamonti
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Correspondence to Enrico Ripamonti.

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Marasini, D., Quatto, P. & Ripamonti, E. Intuitionistic fuzzy sets in questionnaire analysis. Qual Quant 50, 767–790 (2016). https://doi.org/10.1007/s11135-015-0175-3

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