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Fuzzy discrete structures

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  • 263 pages
  • 10 hours of reading

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This ambitious exposition by Malik and Mordeson on the fuzzification of discrete structures serves as a solid foundational text on a key topic while providing a clear pathway to understanding basic fuzzy set concepts. The authors present their material in a traditional format, ensuring that all propositions and theorems are supported by rigorous proofs, yet the readability remains high. The inclusion of well-chosen examples effectively illustrates the often complex concepts discussed. Specific topics, such as fuzzy versions of decision trees, networks, graphs, and automata, are presented so clearly that even those not primarily focused on these areas may find themselves drawn to explore the material further. Encountering such a well-crafted book prompts reflections on one’s own writing, as well as thoughts on how this work, despite its distance from my own interests, could still connect with them. My interest in fuzzy set theory has long involved linking aspects of it with corresponding probability concepts, particularly through the idea of random sets, which serves as a key vehicle for this exploration.

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Fuzzy discrete structures, Davender S. Malik

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2000
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(Hardcover)
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