POWERSET OPERATORS OF EXTENSIONAL FUZZY SETS

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MOCKOR J.

مرکز اطلاعات علمی Scientific Information Database (SID) - Trusted Source for Research and Academic Resources

Journal Paper

Paper Information

Journal: Iranian Journal of Fuzzy Systems Year:2018 | Volume:15 | Issue:2 Page(s): 143-163

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Information Journal Paper

Title

POWERSET OPERATORS OF EXTENSIONAL FUZZY SETS

Author(s)

MOCKOR J. | Issue Writer Certificate

Keywords

EXTENSIONAL FUZZY SETSQ2

POWERSET OPERATORSQ2

MONADS IN CATEGORIESQ2

Abstract

Powerset structures of EXTENSIONAL FUZZY SETS in sets with similarity relations are investigated. It is proved that EXTENSIONAL FUZZY SETS have powerset structures which are powerset theories in the category of sets with similarity relations, and some of these powerset theories are defined also by algebraic theories (monads). Between Zadeh's fuzzy powerset theory and the classical powerset theory there exists a strong relation, which can be represented as a homomorphism. Analogical results are also proved for new powerset theories of EXTENSIONAL FUZZY SETS.

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APA: Copy

. (1397). عملگرهای مجموعه توان مجموعه های فازی توسیعی. مجله سیستم های فازی ایران, 15(2 ), 143-163. SID. https://sid.ir/paper/113231/en

Vancouver: Copy

. عملگرهای مجموعه توان مجموعه های فازی توسیعی. مجله سیستم های فازی ایران[Internet]. 1397;15(2 ):143-163. Available from: https://sid.ir/paper/113231/en

IEEE: Copy

, “عملگرهای مجموعه توان مجموعه های فازی توسیعی,” مجله سیستم های فازی ایران, vol. 15, no. 2 , pp. 143–163, 1397, [Online]. Available: https://sid.ir/paper/113231/en

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