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Paper Title
Generalized Fuzzy Measurable Functions in Topological Measurable Space
Authors
Dr. S.K. Pandey, Ambika Saket
Keywords
Topological measurable spaces, fuzzy mappings, fuzzy measurable functions, fuzzy selection, gradual number-valued measurable function.
Abstract
This paper introduces a generalized framework for fuzzy measurable functions in topological measurable spaces. We extended the classical concept of fuzzy measurability by incorporating both measurable and topological structures, allowing a unified treatment of generalized fuzzy mappings. Including closure under finite unions and intersections, composition, and stability under suitable conditions with new definitions of generalized fuzzy measurable functions are proposed together with their fundamental properties. Relationships between generalized fuzzy measurable functions, measurable graphs, level-set measurability are investigated. Conditions are sufficient for the existence of generalized fuzzy selection established in topological measurable spaces. The concept of gradual number-valued measurable functions is introduced and some preserving essential measurability properties
IJCRT's Publication Details
Unique Identification Number - IJCRT2608367
Paper ID - 312846
Page Number(s) - d422-d430
Pubished in - Volume 14 | Issue 8 | August 2026
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Publisher Name - IJCRT | www.ijcrt.org | ISSN : 2320-2882
E-ISSN Number - 2320-2882
Cite this article
Dr. S.K. Pandey, Ambika Saket, "Generalized Fuzzy Measurable Functions in Topological Measurable Space", International Journal of Creative Research Thoughts (IJCRT), ISSN:2320-2882, Volume.14, Issue 8, pp.d422-d430, August 2026, Available at :http://www.ijcrt.org/papers/IJCRT2608367.pdf
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Submit Manuscript Online Impact Factor: 7.97 Review Results : Within 02-03 Days Paper Publication : Within 02-03 Days
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ISSN: 2320-2882 Impact Factor: 7.97 and ISSN APPROVED Journal Starting Year (ESTD) : 2013
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ISSN: 2320-2882 Impact Factor: 7.97 and ISSN APPROVED Journal Starting Year (ESTD) : 2013
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