An interval-valued T-spherical fuzzy set (IVTSFS) is an efficient framework to treat ambiguous and vague information more efficiently. It has four functions consisting of the in intervals. With help these functions, IVTSFS a reliable than other existing frameworks. This article aims establish algebraic operations IVTSFSs named Frank sum, multiplication, scalar multiplication stranded on t-norm ...

This paper is devoted to the research of full implication triple I method under Pythagorean fuzzy environment. We first propose concepts t-norm, t-conorm, residual operator (RPFIO) and biresiduum. The for modus ponens (PFMP) tollens (PFMT) are also established. In addition, properties PFMP PFMT models including robustness, continuity reversibility analyzed. Finally, a practical problem discusse...

As a fuzzy set extension, the hesitant set is effectively used to model situations where it is allowable to determine several possible membership degrees of an element to a set due to the ambiguity between different values. Some new hesitant fuzzy operational rules are introduced based on the Hamacher t-conorm and t-norm, whereby we present a multi attribute decision making method under hesitan...

The objective of this paper is to present and to evaluate the performance of particular fusion rules based on fuzzy T-Conorm/T-Norm operators for two tracking applications: (1) Tracking object’s type changes, supporting the process of objects’ identification (e.g. fighter against cargo, friendly aircraft against hostile ones), which, consequently is essential for improving the quality of genera...

In this paper, a logarithmic operational law for intuitionistic fuzzy numbers is defined, in which the based $$\ell$$ real number such that $$\ell \in \left( {0,1} \right)$$ with condition \ne 1$$ . Some properties of laws have been studied and on these, several Einstein averaging geometric operators, namely weighted (LIFEWA) operator, ordered (LIFEOWA) hybrid (LIFEHA) (LIFEWG) (LIFEOWG) (LIFEH...

As an extension of several fuzzy structures such as sets, intuitionistic picture q-rung ortho-pair and T-spherical (TSF) sets (TSFSs), are effective tool for controlling the vagueness data. Archimedean t-conorm (ATCN) t-norm (ATN), which consists (TCN) (TN) families, is a crucial approach to produce extensive operational rules. In this manuscript, TSF numbers some core laws initiated based on A...

Multi-attribute decision-making (MADM) is usually used to aggregate fuzzy data successfully. Choosing the best option regarding not generally symmetric on grounds that it does provide complete information. Since Aczel-Alsina aggregation operators (AOs) have great impact due their parameter variableness, they been well applied in MADM under construction. Recently, AOs intuitionistic sets (IFSs),...

Abstract The Pythagorean fuzzy sets are more robust than and intuitionistic in dealing with the problems involving uncertainty. To compare two sets, distance measures play a crucial role. In this paper, we have proposed some novel for using t-conorms. We also discussed their various desirable properties. With help of suggested measures, introduced new knowledge sets. Through numerical compariso...

Given a suitable extension $ F'/F of algebraic function fields over finite field \mathbb{F}_q $, we introduce the conorm code \operatorname{Con}_{F'/F}( \mathcal{C}) defined F' which is constructed from an geometry \mathcal{C} F $. We study parameters in terms ramification behavior places used to define and genus In case unramified extensions prove that \mathcal{C})^\perp = \mathcal{C}^\perp) w...

The T-Spherical Fuzzy set (T-SPHFS) is one of the core simplifications quite a lot fuzzy concepts such as (FS), intuitionistic (ITFS), picture (PIFS), Q-rung orthopair (Q-RUOFS), etc. T-SPHFS reveals judgment by degree positive membership, abstinence, negative and refusal with relaxed conditions, this more powerful mathematical tool to pair inconsistent, indecisive, indistinguishable informatio...