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2020 | OriginalPaper | Buchkapitel

Computing with Words Through Interval Type-2 Fuzzy Sets for Decision Making Environment

verfasst von : Rohit Mishra, Santosh Kumar Barnwal, Shrikant Malviya, Varsha Singh, Punit Singh, Sumit Singh, Uma Shanker Tiwary

Erschienen in: Intelligent Human Computer Interaction

Verlag: Springer International Publishing

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Abstract

Interval Type-2 fuzzy sets (IT2FSs) are used for modeling uncertainty and imprecision in a better way. In a conversation, the information given by humans are mostly words. IT2FSs can be used to provide a suitable mathematical representation of a word. The IT2FSs can be further processed using Computing with the words (CWW) engine to return the IT2FS output representation that can be decoded to give the output word. In this paper, an attempt has been made to develop a system that will help in decision making by considering person’s subjective importance for various factors for selection. For demonstration we have taken an example of restaurant recommender system that suggests the suitability of a restaurant depending on person’s subjective importance given to selection criteria (i.e.,cost, time and food quality). Firstly, a codebook is constructed to capture the vocabulary words. IT2FSs membership functions are used to represent these vocabulary words. The linguistic ratings corresponding to selection criteria are taken from experts for restaurants. The linguistic weights are person’s subjective importance given to the selection criteria. Finally, the CWW engine uses linguistic weights and linguistic ratings to obtain the suitability of the restaurant. The output is the recommended word which is also represented using IT2FS. The output word is more effective for human understanding in conversation where the precise information is not very useful and sometimes deceptive .

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Literatur
3.
Zurück zum Zitat Mendel, J.M., Dongrui, W.: Perceptual reasoning for perceptual computing. IEEE Trans. Fuzzy Syst. 16(6), 1550–1564 (2008)CrossRef Mendel, J.M., Dongrui, W.: Perceptual reasoning for perceptual computing. IEEE Trans. Fuzzy Syst. 16(6), 1550–1564 (2008)CrossRef
4.
Zurück zum Zitat Wu, H., Mendel, J.M.: Uncertainty bounds and their use in the design of interval type-2 fuzzy logic systems. IEEE Trans. Fuzzy Syst. 10(5), 622–639 (2002)CrossRef Wu, H., Mendel, J.M.: Uncertainty bounds and their use in the design of interval type-2 fuzzy logic systems. IEEE Trans. Fuzzy Syst. 10(5), 622–639 (2002)CrossRef
5.
Zurück zum Zitat Liu, F., Mendel, J.M.: Encoding words into interval type-2 fuzzy sets using an interval approach. IEEE Trans. Fuzzy Syst. 16(6), 1503–1521 (2008)CrossRef Liu, F., Mendel, J.M.: Encoding words into interval type-2 fuzzy sets using an interval approach. IEEE Trans. Fuzzy Syst. 16(6), 1503–1521 (2008)CrossRef
6.
Zurück zum Zitat Runkler, T., Coupland, S., John, R.: Interval type-2 fuzzy decision making. Int. J. Approx. Reason. 80, 217–224 (2017)MathSciNetCrossRef Runkler, T., Coupland, S., John, R.: Interval type-2 fuzzy decision making. Int. J. Approx. Reason. 80, 217–224 (2017)MathSciNetCrossRef
7.
8.
Zurück zum Zitat Malviya, S., Mishra, R., Tiwary, U.S.: Structural analysis of Hindi phonetics and a method for extraction of phonetically rich sentences from a very large Hindi text corpus. In: 2016 Conference of The Oriental Chapter of International Committee for Coordination and Standardization of Speech Databases and Assessment Techniques (O-COCOSDA). IEEE (2016) Malviya, S., Mishra, R., Tiwary, U.S.: Structural analysis of Hindi phonetics and a method for extraction of phonetically rich sentences from a very large Hindi text corpus. In: 2016 Conference of The Oriental Chapter of International Committee for Coordination and Standardization of Speech Databases and Assessment Techniques (O-COCOSDA). IEEE (2016)
9.
Zurück zum Zitat Wu, D., Mendel, J.M.: The linguistic weighted average. In: Proceedings of FUZZ-IEEE, pp. 566–573. IEEE, Vancouver (2006) Wu, D., Mendel, J.M.: The linguistic weighted average. In: Proceedings of FUZZ-IEEE, pp. 566–573. IEEE, Vancouver (2006)
10.
Zurück zum Zitat Wu, D., Mendel, J.M.: Aggregation using the linguistic weighted average and interval type-2 fuzzy sets. IEEE Trans. Fuzzy Syst. 15(4), 1145–1161 (2007)CrossRef Wu, D., Mendel, J.M.: Aggregation using the linguistic weighted average and interval type-2 fuzzy sets. IEEE Trans. Fuzzy Syst. 15(4), 1145–1161 (2007)CrossRef
11.
Zurück zum Zitat Wu, D., Mendel, J.M.: A comparative study of ranking methods, similarity measures and uncertainty measures for interval type-2 fuzzy sets. Inf. Sci. 179(8), 1169–1192 (2009)MathSciNetCrossRef Wu, D., Mendel, J.M.: A comparative study of ranking methods, similarity measures and uncertainty measures for interval type-2 fuzzy sets. Inf. Sci. 179(8), 1169–1192 (2009)MathSciNetCrossRef
12.
Zurück zum Zitat Mendel, J.M., John, R.I., Liu, F.: Interval type-2 fuzzy logic systems made simple. IEEE Trans. Fuzzy Syst. 14(6), 808–821 (2006)CrossRef Mendel, J.M., John, R.I., Liu, F.: Interval type-2 fuzzy logic systems made simple. IEEE Trans. Fuzzy Syst. 14(6), 808–821 (2006)CrossRef
13.
Zurück zum Zitat Wu, D., Mendel, J.M.: Corrections to ‘aggregation using the linguistic weighted average and interval type-2 fuzzy sets’. IEEE Trans. Fuzzy Syst. 16(6), 1664–1666 (2008)CrossRef Wu, D., Mendel, J.M.: Corrections to ‘aggregation using the linguistic weighted average and interval type-2 fuzzy sets’. IEEE Trans. Fuzzy Syst. 16(6), 1664–1666 (2008)CrossRef
14.
Zurück zum Zitat Mendel, J.M.: Uncertain Rule-Based Fuzzy Logic Systems: Introduction and New Directions. Prentice-Hall, Upper-Saddle River (2001)MATH Mendel, J.M.: Uncertain Rule-Based Fuzzy Logic Systems: Introduction and New Directions. Prentice-Hall, Upper-Saddle River (2001)MATH
15.
Zurück zum Zitat Walpole, R.W., Myers, R.H., Myers, A.L., Ye, K.: Probability & Statistics for Engineers and Scientists, 8th edn. Prentice-Hall, Upper Saddleback River (2007)MATH Walpole, R.W., Myers, R.H., Myers, A.L., Ye, K.: Probability & Statistics for Engineers and Scientists, 8th edn. Prentice-Hall, Upper Saddleback River (2007)MATH
Metadaten
Titel
Computing with Words Through Interval Type-2 Fuzzy Sets for Decision Making Environment
verfasst von
Rohit Mishra
Santosh Kumar Barnwal
Shrikant Malviya
Varsha Singh
Punit Singh
Sumit Singh
Uma Shanker Tiwary
Copyright-Jahr
2020
DOI
https://doi.org/10.1007/978-3-030-44689-5_11