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On the Pettis integral of fuzzy mappings in Banach spaces

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Abstract

In this paper, we introduce the Pettis integral of fuzzy map-pings in Banach spaces using the Pettis integral of closed set-valued map-pings. We investigate the relations between the Pettis integral, weak in-tegral and integral of fuzzy mappings in Banach spaces and obtain someproperties of the Pettis integral of fuzzy mappings in Banach spaces.

참고문헌 (7)

  1. "On the Pettis integral of closed valued multifunctions", 8, pp.329~360 (2000)
  2. "Integrals of set-valued functions" (1965)
  3. "On the ory of Banach space valued multifunctions"
  4. "The w-derivatives of fuzzy mappings in Banach spaces", 119, pp.375~381 (2001)
  5. "Set valued Bartle integrals", 255, pp.120~ (2001)
  6. "Random fuzzy number integrals in Banachspaces" (1994)
  7. "On the convergence and representation of randomfuzzy number integrals", 103, pp.115~125 (1999)

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