2025 : 9 : 29

Majid ziaei ghahnavieh

Academic rank: Assistant Professor
ORCID:
Education: PhD.
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HIndex:
Faculty: Theology and Islamic Sciences
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Research

Title
Comparative comparison of fuzzy logic and classical logic
Type
JournalPaper
Keywords
fuzzy logic, classical logic, Aristotelian logic, dual axis, new logic
Year
2024
Journal International Journal of Nonlinear Analysis and Applications
DOI
Researchers Majid ziaei ghahnavieh ، hoda habibi manesh ، saeed sheikhmoradi

Abstract

Fuzzy logic often brings to mind non-deterministic reasoning—a flexible, argument-based form of logic that emphasizes approximation rather than certainty. Although classical logic has historically been equated with clear-cut, absolute truths, fuzzy logic proposes a method of reasoning that acknowledges and operates within uncertainty. This approach is particularly valuable because real-world decisions often rely on approximate rather than definitive arguments, a reality classical logic is ill-equipped to handle due to its strict reliance on binary outcomes. Fuzzy logic addresses this gap by offering a system capable of integrating expert knowledge and subjective judgments into intelligent systems, making them better suited for practical, sensitive decision-making. This adaptability stands in stark contrast to classical logic’s limited binary framework, as emphasized by Francis Bacon’s critique of Aristotelian logic as an outdated construct that, while intellectually rigorous, offers little to improve practical human life. With fuzzy logic, Bacon’s call for a more practical approach to reasoning is answered, as it provides the means to interpret complex scenarios that do not fit neatly within binary categories. This research examines the foundational principles of both classical and fuzzy logic, exploring their distinct philosophical and epistemological bases. Classical logic is grounded in Aristotle’s dualistic, “either this/or that” certainty, while fuzzy logic embraces a multi-valued system that more accurately reflects the spectrum of real-world scenarios. By comparing these two systems, this study highlights their differing approaches to the relationship between mind and reality, and between perception and external truth. The results underscore that classical logic, while useful for rigid classifications, lacks the flexibility needed for ambiguous, real-world applications. Fuzzy logic, however, expands the realm of logical analysis to incorporate the probabilistic reasoning necessary for complex decision-making. In conclusion, the two forms of logic present distinct but complementary perspectives on reasoning. Classical logic offers clarity and precision, whereas fuzzy logic enhances adaptability and realism, contributing to a fuller understanding of the ways we can process and apply knowledge in uncertain contexts.