On Fundamental Theorems of t-Intuitionistic Fuzzy Isomorphism of t-Intuitionistic Fuzzy Subgroups
TLDR
The concept of the support of t-intuitionistic fuzzy set is defined and it is proved that it forms a normal subgroup of a given group.Abstract:
In this paper, we define the concept of the support of t-intuitionistic fuzzy set and prove that it forms a normal subgroup of a given group. We establish a relationship about the normality of any two t-intuitionistic fuzzy subgroups of a group. We also initiate the study of t-intuitionistic fuzzy isomorphism between any two t-intuitionistic fuzzy subgroups and prove the fundamental theorems of t-intuitionistic fuzzy isomorphism for these particular fuzzy subgroups.read more
Citations
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References
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Book
Fuzzy sets
TL;DR: A separation theorem for convex fuzzy sets is proved without requiring that the fuzzy sets be disjoint.
Journal ArticleDOI
Intuitionistic fuzzy sets
TL;DR: Various properties are proved, which are connected to the operations and relations over sets, and with modal and topological operators, defined over the set of IFS's.
Book
Fuzzy Set Theory - and Its Applications
TL;DR: The book updates the research agenda with chapters on possibility theory, fuzzy logic and approximate reasoning, expert systems, fuzzy control, fuzzy data analysis, decision making and fuzzy set models in operations research.
Book
Decision-making in a fuzzy environment
Richard Bellman,Lotfi A. Zadeh +1 more
TL;DR: A reverse-flow technique is described for the solution of a functional equation arising in connection with a decision process in which the termination time is defined implicitly by the condition that the process stops when the system under control enters a specified set of states in its state space.
Book
A first course in fuzzy logic
Hung T. Nguyen,Elbert A. Walker +1 more
TL;DR: Fuzzy rule bases Design methodologies Some mathematical background Approximation capability Exercises POSSIBILITY THEORY Probability and uncertainty Random sets Possibility measures Exercised.