TY - JOUR
T1 - INTRODUCTION TO A N E W CLASS OF AGGREGATION OPERATORS ON MULTIPLE SETS
AU - Sanjitha, R.
AU - Thankachan, Baiju
N1 - Publisher Copyright:
© 2024 Jangjeon Research Institute for Mathematical Sciences and Physics. All rights reserved.
PY - 2024
Y1 - 2024
N2 - Multiple set theory has been introduced with the motive of getting a new mathematical tool that can easily handle the uncertainty of an object along with its multiplicity. This paper introduces a new class of Aggregation operators viz., Monotonic Anti Monotonic (MAM), Monotonic On Monotonic (MOM), and Monotone Identity Commutative Aggregation (MICA) on multiple sets. Also, some of their basic properties are discussed. Further, improved results are obtained by comparing t-norm, t-conorm, and uni-norm operators in multiple sets.
AB - Multiple set theory has been introduced with the motive of getting a new mathematical tool that can easily handle the uncertainty of an object along with its multiplicity. This paper introduces a new class of Aggregation operators viz., Monotonic Anti Monotonic (MAM), Monotonic On Monotonic (MOM), and Monotone Identity Commutative Aggregation (MICA) on multiple sets. Also, some of their basic properties are discussed. Further, improved results are obtained by comparing t-norm, t-conorm, and uni-norm operators in multiple sets.
UR - https://www.scopus.com/pages/publications/85209573018
UR - https://www.scopus.com/inward/citedby.url?scp=85209573018&partnerID=8YFLogxK
U2 - 10.17777/pjms2024.27.4.817
DO - 10.17777/pjms2024.27.4.817
M3 - Article
AN - SCOPUS:85209573018
SN - 1598-7264
VL - 27
SP - 817
EP - 828
JO - Proceedings of the Jangjeon Mathematical Society
JF - Proceedings of the Jangjeon Mathematical Society
IS - 4
ER -