Philosophical and Axiomatic Grounding of Fuzzy Theory
نویسنده
چکیده
At times, it is essential to re-affirm the philosophical and axiomatic foundations of Fuzzy Theory in order to search and discover new avenues of research and to shed a new light onto basic assumptions. For such a purpose, first, the perspectives of Pierce and Zadeh are review with regards to determinacy and indeterminacy. Secondly, the ontological and epistemological foundations of both the Classical and Fuzzy theories are briefly noted from the perspective of a theoretical inquiry. Thirdly, axiomatic positions are re-stated for: 1) classical set and logic theories, 2) fuzzy set and twovalued logic theories,i.e., Type I fuzzy theory, and then 3) a fuzzy interpretation of Meta-Linguistic Axioms are investigated to reveal part of the foundational underpinnings of Interval-Valued Type II fuzzy theory.
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تاریخ انتشار 2011