Fuzzy sets and their operations

M Mizumoto, K Tanaka - Information and Control, 1981 - Elsevier
… properties of fuzzy sets under these nex operations of bounded-… of fuzzy sets in the case
where these new operations are … set L with two operations V and A satisfying idempotent laws, …

New logarithmic operational laws and their aggregation operators for Pythagorean fuzzy set and their applications

H Garg - International Journal of Intelligent Systems, 2019 - Wiley Online Library
… some new logarithm operational laws (LOL) with real number base urn:x-wiley:08848173:media:int22043:int22043-math-0001
for the Pythagorean fuzzy sets. Some properties of LOL …

The logarithmic operational laws of intuitionistic fuzzy sets and intuitionistic fuzzy numbers

Z Li, F Wei - Journal of Intelligent & Fuzzy Systems, 2017 - content.iospress.com
… Intuitionistic fuzzy set (IFS) is an extension of fuzzy set. The basic element of an IFS is the
ordered pair called intuitionistic fuzzy number (IFN). So far, some basic operational laws of …

Fundamentals of fuzzy logic control—fuzzy sets, fuzzy rules and defuzzifications

Y Bai, D Wang - Advanced fuzzy logic technologies in industrial …, 2006 - Springer
… The law to design or build a set of fuzzy rules is based on a human being’s knowledge or …
or classical sets and their operations, we derived fuzzy sets and their operations. Classical …

Novel intuitionistic fuzzy decision making method based on an improved operation laws and its application

H Garg - Engineering Applications of Artificial Intelligence, 2017 - Elsevier
… a novel accuracy function for the pythagorean fuzzy set for solving the decision-… operation
laws. Therefore, the objective is to present operational laws by defining the new operations on …

New exponential operation laws and operators for interval-valued q-rung orthopair fuzzy sets in group decision making process

H Garg - Neural Computing and Applications, 2021 - Springer
fuzzy set (IVq-… operation laws (q-EOLs) and operators over q-CNs in which bases are real
numbers and exponents are q-CNs. Moreover, we define an operator based on these laws and …

Novel basic operational laws for linguistic terms, hesitant fuzzy linguistic term sets and probabilistic linguistic term sets

X Gou, Z Xu - Information Sciences, 2016 - Elsevier
… of linguistic terms and the extended linguistic term sets are very unreasonable. In … laws for
linguistic terms, hesitant fuzzy linguistic elements (HFLEs) and probabilistic linguistic term sets

[PDF][PDF] The theory of fuzzy sets: beliefs and realities

HK Baruah - International Journal of Energy, Information and …, 2011 - researchgate.net
… The readers would note here that for probabilistic conclusions based on fuzzy random data,
we need to define two probability laws in the statistical sense in the two concerned intervals […

Complex fuzzy sets with applications in signals

X Ma, J Zhan, M Khan, M Zeeshan, S Anis… - … and Applied Mathematics, 2019 - Springer
… new operations and laws of a complex fuzzy set such as disjunctive sum, simple difference,
bounded difference, distributive law … , involution law, absorption law, and idempotent law. We …

[PDF][PDF] L-fuzzy sets

JA Goguen - Journal of mathematical analysis and applications, 1967 - core.ac.uk
… a fuzzy set is therefore a sort of generalized characteristic function. We habitually denote the
poset by L and call the fuzzy set an L-fuzzy set or an L-set… call the complete distributive law : …