Abstract
This present reality is mind boggling; complexity in the planet by and large emerges from vulnerability as vagueness. Because of the element of multifaceted nature and equivocalness, the people have been looked by social, technical, and economic problems. Why at that point are PCs, which have been outlined by people all things considered, not equipped for tending to and vague issues? By what method would humans be able to reason about genuine systems, when the total depiction of a real system regularly requires more point-by-point information than a human would ever want to perceive at the same time and acclimatize with comprehension? The answer is that people have the ability to reason roughly, a capacity that PCs as of now do not have.
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References
J.C. Bezdek, Fuzzy partitions and relations an axiomatic basis for clustering. Fuzzy Sets Syst. 1, 111–127 (1978)
J.G. Brown, A note on fuzzy sets. Inf. Control 18, 32–39 (1971)
G. Deschrijver, E.E. Kerre, On the relationship between some extensions of fuzzy set theory. Fuzzy Sets Syst. 133(2), 227–235 (2003)
G.J. Klir, B. Yuan, Fuzzy sets and fuzzy logic: theory and applications (Prentice Hall, New Jersey, 1995). ISBN 978-0-13-101171-7
R. Seising, The fuzzification of systems: The genesis of fuzzy set theory and its initial applications—developments up to the 1970s (Studies in Fuzziness and Soft Computing), vol. 216 (Springer, Berlin, New York, 1970)
Y.Y. Yao, A comparative study of fuzzy sets and rough sets. Inf. Sci. 109(1–4), 227–242 (1998)
L. Zadeh, The concept of a linguistic variable and its application to approximate reasoning—I. Inform. Sci. 8, 199–249 (1975)
H.J. Zimmermann, Fuzzy set theory—and its applications, 4th edn. (Kluwer, Netherlands, 2001). ISBN 978-0-7923-7435-0
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Islam, S., Mandal, W.A. (2019). Introduction to Fuzzy Set Theory. In: Fuzzy Geometric Programming Techniques and Applications. Forum for Interdisciplinary Mathematics. Springer, Singapore. https://doi.org/10.1007/978-981-13-5823-4_3
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