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Filter Theory in Pre-Ordered Residuated Systems Using Intuitionistic Fuzzy Points
- Issue Date
- Oct-2024
- Publisher
- World Scientific Publishing Co.
- Keywords
- Pre-ordered residuated system; filter; intuitionistic level set; Pre-ordered residuated system; filter; intuitionistic level set; intuitionistic q-set; intuitionistic E Vq-set; (0, 1)-set; (E, E Vq )-intuitionistic fuzzy filter
- Citation
- New Mathematics and Natural Computation, v.22, no.1, pp 251 - 269
- Pages
- 19
- Indexed
- SCOPUS
ESCI
- Journal Title
- New Mathematics and Natural Computation
- Volume
- 22
- Number
- 1
- Start Page
- 251
- End Page
- 269
- ISSN
- 1793-0057
1793-7027
- Abstract
- Using the notion of intuitionistic fuzzy points, the concept of intuitionistic fuzzy filters and (is an element of,is an element of boolean OR q)-intuitionistic fuzzy filters in pre-ordered residuated systems are introduced, and several related properties are investigated. Characterizations of intuitionistic fuzzy filters and (is an element of,is an element of boolean OR q)-intuitionistic fuzzy filters are studied. By forming sub-structures called intuitionistic level set, intuitionistic q-set, intuitionistic is an element of boolean OR q-set, and (0, 1)-set, the conditions under which they can be filters will be tracked.
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