Possibilistic mean of generalized non-linear intuitionistic fuzzy number to solve a price and quality dependent demand multi-item inventory model

2021 ◽  
Vol 40 (4) ◽  
Author(s):  
Sourav Kumar Giri ◽  
Totan Garai ◽  
Harish Garg ◽  
Sahidul Islam
Keyword(s):  
Fuzzy Number ◽  
Inventory Model ◽  
Intuitionistic Fuzzy Number ◽  
Intuitionistic Fuzzy ◽  
Non Linear ◽  
Dependent Demand

Non-Linear Intuitionistic Fuzzy Number and Its Application in Partial Differential Equation

2017 ◽  
pp. 215-234 ◽  
Author(s):  
Sankar Prasad Mondal
Keyword(s):  
Differential Equation ◽  
Partial Differential Equation ◽  
Linear Function ◽  
Membership Function ◽  
Fuzzy Number ◽  
Intuitionistic Fuzzy Number ◽  
Partial Differential ◽  
Intuitionistic Fuzzy ◽  
Non Linear

In this chapter the concept of non linear intuitionistic fuzzy number is addressed. Mainly the construction of non linear intuitionistic fuzzy number whose membership function is non linear function is taken here. Finally the number is taken with partial differential equation and solve the problem.

Arithmetic operations on generalized intuitionistic fuzzy number and its applications to transportation problem

OPSEARCH ◽  
2014 ◽  
Vol 52 (3) ◽  
pp. 431-471 ◽  
Author(s):  
Dipankar Chakraborty ◽  
Dipak Kumar Jana ◽  
Tapan Kumar Roy
Keyword(s):  
Fuzzy Number ◽  
Transportation Problem ◽  
Intuitionistic Fuzzy Number ◽  
Arithmetic Operations ◽  
Intuitionistic Fuzzy

scholarly journals On statistical convergent sequence spaces of intuitionistic Fuzzy numbers

2018 ◽  
Vol 36 (1) ◽  
pp. 235 ◽  
Author(s):  
Shyamal Debnath ◽  
Vishnu Narayan Mishra ◽  
Jayanta Debnath
Keyword(s):  
Fuzzy Number ◽  
Fuzzy Numbers ◽  
Convergent Sequence ◽  
Sequence Spaces ◽  
Topological Properties ◽  
Intuitionistic Fuzzy Number ◽  
Intuitionistic Fuzzy Numbers ◽  
Intuitionistic Fuzzy ◽  
Inclusion Relations ◽  
Bounded Sequences

In the present paper we introduce the classes of sequence stcIFN, stc0IFN and st∞IFN of statistically convergent, statistically null and statistically bounded sequences of intuitionistic fuzzy number based on the newly defined metric on the space of all intuitionistic fuzzy numbers (IFNs). We study some algebraic and topological properties of these spaces and prove some inclusion relations too.

scholarly journals Linguistic Interval-Valued Intuitionistic Fuzzy Copula Heronian Mean Operators for Multiattribute Group Decision-Making

2020 ◽  
Vol 2020 ◽  
pp. 1-25
Author(s):  
Lei Xu ◽  
Yi Liu ◽  
Haobin Liu
Keyword(s):  
Decision Making ◽  
Fuzzy Number ◽  
Group Decision ◽  
Decision Makers ◽  
Intuitionistic Fuzzy Number ◽  
Intuitionistic Fuzzy ◽  
Uncertainty Information ◽  
The Relationship ◽  
Interval Valued ◽  
Heronian Mean

As a generalization of the intuitionistic fuzzy number (IFN), the linguistic interval-valued intuitionistic fuzzy number (LIVIFN) is a flexible and superior tool to describe complex fuzzy uncertainty information. Heronian mean (HM) operator has the characteristic of considering the relationship between attributes. Extended copulas (ECs) and extended cocopulas (ECCs) are the promotion form of Archimedean t-norm and t-conorm (ATT). ECs and ECCs can generate versatile operational rules and can provide more choice for decision makers (DMs). Therefore, it is very necessary to take advantages of them. In this paper, ECs and ECCs, some specifics of ECs and ECCs, and score and accuracy functions of IVILFNs are gained first. Then, we propose the linguistic interval-valued intuitionistic fuzzy weighted copula Heronian mean (LIVIFWCHM) operator; also, some properties and five specific expressions of the LIVIFWCHM operator are discussed. Moreover, we also propose a new MAGDM approach based on the proposed LIVIFWCHM operator. Finally, a set of examples are used to demonstrate the effectiveness, generality, and flexibility of the proposed method.

scholarly journals Note on aggregating crisp values into intuitionistic fuzzy number

2016 ◽  
Vol 40 (23-24) ◽  
pp. 10800-10808 ◽  
Author(s):  
Jian Lin ◽  
Qiang Zhang
Keyword(s):  
Fuzzy Number ◽  
Intuitionistic Fuzzy Number ◽  
Intuitionistic Fuzzy
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