Soft Outer Measure and Soft Premeasure
Apstrakt
Molodtsov introduced the concept of soft set as a new mathematical tool for dealing with problems treating uncertainties, and, later, Riaz at al. developed various concepts of soft sets. Here, we study the concept of soft semiring and soft premeasure and explore their basic properties. We define a [0, infinity]-valued function on some soft set 8, that is not a soft sigma-algebra, and then we extend this function to a measure on the soft sigma-algebra generated by 8. We also introduce various set functions like soft content and soft premeasures, and give their basic properties.
Ključne reči:
soft semiring / soft premeasure / soft outer measure / soft measure / soft ?-algebraIzvor:
Filomat, 2022, 36, 6, 2129-2141Izdavač:
- Univerzitet u Nišu - Prirodno-matematički fakultet - Departmant za matematiku i informatiku, Niš
Finansiranje / projekti:
- Serbian Ministry of Education, Science and Technological Development [451-03-68/2022-14/]
DOI: 10.2298/FIL2206129S
ISSN: 0354-5180
WoS: 000936943600027
Scopus: 2-s2.0-85140387310
Institucija/grupa
Fakultet organizacionih naukaTY - JOUR AU - Stojanović, Nenad AU - Boričić Joksimović, Marija PY - 2022 UR - https://rfos.fon.bg.ac.rs/handle/123456789/2366 AB - Molodtsov introduced the concept of soft set as a new mathematical tool for dealing with problems treating uncertainties, and, later, Riaz at al. developed various concepts of soft sets. Here, we study the concept of soft semiring and soft premeasure and explore their basic properties. We define a [0, infinity]-valued function on some soft set 8, that is not a soft sigma-algebra, and then we extend this function to a measure on the soft sigma-algebra generated by 8. We also introduce various set functions like soft content and soft premeasures, and give their basic properties. PB - Univerzitet u Nišu - Prirodno-matematički fakultet - Departmant za matematiku i informatiku, Niš T2 - Filomat T1 - Soft Outer Measure and Soft Premeasure EP - 2141 IS - 6 SP - 2129 VL - 36 DO - 10.2298/FIL2206129S UR - conv_2851 ER -
@article{ author = "Stojanović, Nenad and Boričić Joksimović, Marija", year = "2022", abstract = "Molodtsov introduced the concept of soft set as a new mathematical tool for dealing with problems treating uncertainties, and, later, Riaz at al. developed various concepts of soft sets. Here, we study the concept of soft semiring and soft premeasure and explore their basic properties. We define a [0, infinity]-valued function on some soft set 8, that is not a soft sigma-algebra, and then we extend this function to a measure on the soft sigma-algebra generated by 8. We also introduce various set functions like soft content and soft premeasures, and give their basic properties.", publisher = "Univerzitet u Nišu - Prirodno-matematički fakultet - Departmant za matematiku i informatiku, Niš", journal = "Filomat", title = "Soft Outer Measure and Soft Premeasure", pages = "2141-2129", number = "6", volume = "36", doi = "10.2298/FIL2206129S", url = "conv_2851" }
Stojanović, N.,& Boričić Joksimović, M.. (2022). Soft Outer Measure and Soft Premeasure. in Filomat Univerzitet u Nišu - Prirodno-matematički fakultet - Departmant za matematiku i informatiku, Niš., 36(6), 2129-2141. https://doi.org/10.2298/FIL2206129S conv_2851
Stojanović N, Boričić Joksimović M. Soft Outer Measure and Soft Premeasure. in Filomat. 2022;36(6):2129-2141. doi:10.2298/FIL2206129S conv_2851 .
Stojanović, Nenad, Boričić Joksimović, Marija, "Soft Outer Measure and Soft Premeasure" in Filomat, 36, no. 6 (2022):2129-2141, https://doi.org/10.2298/FIL2206129S ., conv_2851 .