Soft set theoretical approach to residuated lattices
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512.56 (30)
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JUN, Young-Bae, ZHANG, Xiaohon. Soft set theoretical approach to residuated lattices. In: Quasigroups and Related Systems, 2016, vol. 24, nr. 2(36), pp. 231-246. ISSN 1561-2848.
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Quasigroups and Related Systems
Volumul 24, Numărul 2(36) / 2016 / ISSN 1561-2848

Soft set theoretical approach to residuated lattices
CZU: 512.56

Pag. 231-246

Jun Young-Bae1, Zhang Xiaohon2
 
1 Gyeongsang National University,
2 Shanghai Maritime University
 
 
Disponibil în IBN: 10 martie 2017


Rezumat

Molodtsov's soft set theory is applied to residuated lattices. The notion of (_lteristic) residuated lattices is introduced, and their properties are investigated. Divisible int-soft _lters and strong int-soft _lters are de_ned, and several properties are investigated. Characterizations of a divisible and strong int-soft _lter are discussed. Conditions for an int-soft _lter to be divisible are established. Relations between a divisible int-soft _lter and a strong int-soft _lter are considered.

Cuvinte-cheie
residuated lattice, (filteristic) residuated lattice, (divisible, strong) filter, int-soft filter, divisible int-soft filter, strong int-soft filter