Everyone knows Lotfi Zadeh as the Father of Fuzzy Logic. There have been – and will be – many papers on this important topic. What I want to emphasize in this paper is that his ideas go way beyond fuzzy logic: • he was a pioneer in AI; • he was a pioneer in statistical analysis; and • he was a pioneer in foundations of mathematics. My goal is to explain these ideas to non-fuzzy folks. I also wa...

Although Zadeh defined the basic operations of fuzzy set theory over thirty years ago (Zadeh, 1965), fuzzy logic-based controllers have just recently become the technique of choice for many researchers in robotics. Fuzzy logic controllers allow for the integration of high-level, human-designed plans to operate along side immediate, reactive plans in a robust manner. The key to this successful l...

In a 1968 article, ‘Probability Measures of Fuzzy Events’, Lotfi Zadeh proposed accounts of absolute and conditional probability for fuzzy sets (Zadeh, 1968). Where P is an ordinary (“classical”) probability measure defined on a σ-field of Borel subsets of a space X, and μA is a fuzzy membership function defined on X, i.e. a function taking values in the interval [0, 1], the probability of the ...

ENWEndNote BIBJabRef, Mendeley RISPapers, Reference Manager, RefWorks, Zotero AMA Zadeh SS, Nabighadim A, Yasseri AM, Aghamir SM. The impact of socioeconomic status on prostate cancer screening and access to medical care. Family Medicine & Primary Care Review. 2022;24(4):375-378. doi:10.5114/fmpcr.2022.120863. APA Zadeh, S. S., Nabighadim, A., Yasseri, A. M., Aghamir, M. (2022). Review, 24(4), ...

George Klir and Bo Yuan named after Lotfi Zadeh the implication p→q=max(1−p,min(p,q)) (also Early implication). In a series of papers, author introduced two intuitionistic fuzzy forms Zadeh’s studied their basic properties. present paper, new (third) form is proposed some its properties are studied.

Abstract: In his famous paper “Fuzzy Sets as a Basis for a Theory of Possibility” (Zadeh, 1978) Professor Lofti Zadeh introduced the notion of possibility distribution πX and the concept of possibility measure. He defined in the paper the possibility distribution function to be numerically equal to the membership function (πX = μF ). In this paper Professor Zadeh draws the special attention of ...

After the introduction of fuzzy set by Zadeh in 1965 [1], there have been a number of generalizations of this fundamental concept. In 1967, Goguen [2] proposed the concept of L-fuzzy set. The idea of interval valued fuzzy set is given by Zadeh in 1975 [3]. Type 2 fuzzy sets were poposed by Zadeh in [4]. Attanasove introduced intuitionistic fuzzy sets in 1986 [5]. Interval valued intuitionistic ...

2 Zadeh-type fuzzy probability The paper deals with two methods of a fuzzification of the Borel field of events and too the probability measure. The first approach generalizes the Zadeh definition of a crisp probability of fuzzy event. The second method is based on the Yager definition of a fuzzy probability of fuzzy event. The theoretical results obtained can be applied to modeling stochastic ...

In 1931 and 1935, Ernst Adolph Guillemin, professor of electrical engineering at Masachusetts Institute of Technology (MIT), published the two volumes of his book “Communication Networks”. In that time telephone-, telegraphand radio networks used electricity in communication. In the course of this work electrical engineers become aware that higher mathematics was necessary to construct better c...