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Novel concepts of soft sets with applications

Muhammad Riaz|Khalid Naeem|M. Ozair. Ahmad
기초자연과학연구소 (The Natural Science Institute Wonkwang University)|2017.02|ANNALS OF FUZZY MATHEMATICS AND INFORMATICS|제13권 제2호|pp. 239-251|DOI 10.30948/afmi.2017.13.2.239

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참고문헌

키워드

Soft setsSoft mappingsSoft ring of setsSoft $sigma$-algebrasSoft measure

초록

We introduce different concepts of soft sets, including soft $\sigma$-ring, soft algebra, and soft $\sigma$-algebra. We present different types of set functions, including soft finitely sub-additive, soft countably sub-additive, soft finitely additive, soft countably additive and soft monotone. We study the concept of soft outer measure and soft Lebesgue outer measure. We also describe interesting applications of soft mappings to decision-making.

Abstract

We introduce different concepts of soft sets, including soft $\sigma$-ring, soft algebra, and soft $\sigma$-algebra. We present different types of set functions, including soft finitely sub-additive, soft countably sub-additive, soft finitely additive, soft countably additive and soft monotone. We study the concept of soft outer measure and soft Lebesgue outer measure. We also describe interesting applications of soft mappings to decision-making.

참고문헌 (32)

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